Update to lean v4.3.0
parent
cdba12f161
commit
4f8c3383f1
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@ -4,6 +4,7 @@ lakefile.olean
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lake-packages
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_target
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leanpkg.path
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.lake/
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# TeX
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*.aux
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@ -50,7 +50,7 @@ theorem exercise_4c (x y : ℝ)
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: ⌊x + y⌋ = ⌊x⌋ + ⌊y⌋ ∨ ⌊x + y⌋ = ⌊x⌋ + ⌊y⌋ + 1 := by
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have hx : x = Int.floor x + Int.fract x := Eq.symm (add_eq_of_eq_sub' rfl)
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have hy : y = Int.floor y + Int.fract y := Eq.symm (add_eq_of_eq_sub' rfl)
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by_cases Int.fract x + Int.fract y < 1
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by_cases h : Int.fract x + Int.fract y < 1
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· refine Or.inl ?_
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rw [Int.floor_eq_iff]
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simp only [Int.cast_add]
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@ -1,5 +1,5 @@
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import Common.Set
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import Mathlib.Data.Real.Basic
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import Mathlib.Data.Real.Archimedean
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/-! # Apostol.Chapter_I_03
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@ -481,7 +481,7 @@ theorem exercise_1_2_2b_iii {k : ℕ} (h : Odd k)
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exact absurd hr hk
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unfold σ
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rw [hn₁]
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simp only [Nat.add_eq, add_zero, not_forall, exists_prop, and_true]
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simp only [Nat.add_eq, add_zero, imp_false, not_not]
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exact exercise_1_2_2b_i False Q hn₂
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end Exercise_1_2_2
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@ -616,7 +616,7 @@ lemma right_diff_eq_insert_one_three : A \ (B \ C) = {1, 3} := by
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rw [hy] at hz
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unfold Membership.mem Set.instMembershipSet Set.Mem at hz
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unfold singleton Set.instSingletonSet Set.singleton setOf at hz
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simp only at hz
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simp at hz
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· intro hy
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refine ⟨Or.inr (Or.inr hy), ?_⟩
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intro hz
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@ -542,7 +542,7 @@ theorem exercise_3_1 {x y z u v w : ℕ}
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· rw [hx, hy, hz, hu, hv, hw]
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simp
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· rw [hy, hv]
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simp only
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simp
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/-- ### Exercise 3.2a
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@ -702,7 +702,7 @@ theorem exercise_4_17 (m n p : ℕ)
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| zero => calc m ^ (n + 0)
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_ = m ^ n := rfl
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_ = m ^ n * 1 := by rw [right_mul_id]
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_ = m ^ n * m ^ 0 := rfl
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_ = m ^ n * m ^ 0 := by rfl
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| succ p ih => calc m ^ (n + p.succ)
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_ = m ^ (n + p).succ := rfl
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_ = m ^ (n + p) * m := rfl
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@ -512,7 +512,7 @@ theorem corollary_6d_b
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]
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refine ⟨1, ?_⟩
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intro x nx
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simp only [mul_eq_one, false_and] at nx
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simp only [mul_eq_one, OfNat.ofNat_ne_one, false_and] at nx
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/-- ### Corollary 6E
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@ -992,7 +992,7 @@ lemma sdiff_size_aux [DecidableEq α] [Nonempty α]
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simp only [Set.diff_empty]
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exact hA
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rw [this]
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refine ⟨trivial, hB', Set.equinumerous_emptyset_emptyset⟩
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refine ⟨by simp, hB', Set.equinumerous_emptyset_emptyset⟩
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| succ m ih =>
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/-
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> #### (ii)
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@ -162,7 +162,7 @@ theorem length_zipWith_self_tail_eq_length_sub_one
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rw [length_zipWith]
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simp only [length_cons, ge_iff_le, min_eq_right_iff]
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show length as ≤ length as + 1
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simp only [le_add_iff_nonneg_right]
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simp only [le_add_iff_nonneg_right, zero_le]
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/--
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The output `List` of a `zipWith` is nonempty **iff** both of its inputs are
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@ -9,23 +9,4 @@ If `n < m⁺`, then `n < m` or `n = m`.
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theorem lt_or_eq_of_lt {n m : Nat} (h : n < m.succ) : n < m ∨ n = m :=
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lt_or_eq_of_le (lt_succ.mp h)
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/--
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The following cancellation law holds for `m`, `n`, and `p` in `ω`:
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```
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m ⬝ p = n ⬝ p ∧ p ≠ 0 → m = n
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```
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-/
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theorem mul_right_cancel (m n p : ℕ) (hp : 0 < p) : m * p = n * p → m = n := by
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intro hmn
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match @trichotomous ℕ LT.lt _ m n with
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| Or.inl h =>
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have : m * p < n * p := Nat.mul_lt_mul_of_pos_right h hp
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rw [hmn] at this
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simp at this
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| Or.inr (Or.inl h) => exact h
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| Or.inr (Or.inr h) =>
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have : n * p < m * p := Nat.mul_lt_mul_of_pos_right h hp
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rw [hmn] at this
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simp at this
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end Nat
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@ -1,6 +1,5 @@
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import Mathlib.Algebra.BigOperators.Basic
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import Mathlib.Data.Real.Basic
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import Mathlib.Data.Finset.Basic
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import Mathlib.Data.Real.Archimedean
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/-! # Common.Real.Floor
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@ -1,76 +1,86 @@
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{"version": 6,
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"packagesDir": "lake-packages",
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{"version": 7,
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"packagesDir": ".lake/packages",
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"packages":
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[{"git":
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{"url": "https://github.com/mhuisi/lean4-cli",
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"subDir?": null,
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[{"url": "https://github.com/mhuisi/lean4-cli",
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"type": "git",
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"subDir": null,
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"rev": "39229f3630d734af7d9cfb5937ddc6b41d3aa6aa",
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"opts": {},
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"name": "Cli",
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"inputRev?": "nightly",
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"inherited": false}},
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{"git":
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"manifestFile": "lake-manifest.json",
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"inputRev": "nightly",
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"inherited": false,
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"configFile": "lakefile.lean"},
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{"url": "https://github.com/xubaiw/CMark.lean",
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"subDir?": null,
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"type": "git",
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"subDir": null,
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"rev": "0077cbbaa92abf855fc1c0413e158ffd8195ec77",
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"opts": {},
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"name": "CMark",
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"inputRev?": "main",
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"inherited": false}},
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{"git":
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"manifestFile": "lake-manifest.json",
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"inputRev": "main",
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"inherited": false,
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"configFile": "lakefile.lean"},
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{"url": "https://github.com/fgdorais/lean4-unicode-basic",
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"subDir?": null,
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"rev": "280d75fdfe7be8eb337be7f1bf8479b4aac09f71",
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"opts": {},
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"type": "git",
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"subDir": null,
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"rev": "dc62b29a26fcc3da545472ab8ad2c98ef3433634",
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"name": "UnicodeBasic",
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"inputRev?": "main",
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"inherited": false}},
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{"git":
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"manifestFile": "lake-manifest.json",
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"inputRev": "main",
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"inherited": false,
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"configFile": "lakefile.lean"},
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{"url": "https://github.com/hargonix/LeanInk",
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"subDir?": null,
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"type": "git",
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"subDir": null,
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"rev": "2447df5cc6e48eb965c3c3fba87e46d353b5e9f1",
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"opts": {},
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"name": "leanInk",
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"inputRev?": "doc-gen",
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"inherited": false}},
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{"git":
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{"url": "https://github.com/leanprover-community/mathlib4.git",
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"subDir?": null,
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"rev": "c97b9b00802c2ed343d9ac73e59be287428dbcf0",
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"opts": {},
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"name": "mathlib",
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"inputRev?": "master",
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"inherited": false}},
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{"git":
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"manifestFile": "lake-manifest.json",
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"inputRev": "doc-gen",
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"inherited": false,
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"configFile": "lakefile.lean"},
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{"url": "https://github.com/leanprover/std4.git",
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"subDir?": null,
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"rev": "87b0742b01e45c6cc53cd3043fe3c7cdbf87a56f",
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"opts": {},
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"type": "git",
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"subDir": null,
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"rev": "2e4a3586a8f16713f16b2d2b3af3d8e65f3af087",
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"name": "std",
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"inputRev?": "main",
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"inherited": false}},
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{"git":
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"manifestFile": "lake-manifest.json",
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"inputRev": "v4.3.0",
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"inherited": false,
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"configFile": "lakefile.lean"},
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{"url": "https://github.com/leanprover-community/quote4",
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"subDir?": null,
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"rev": "511eb96eca98a7474683b8ae55193a7e7c51bc39",
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"opts": {},
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"type": "git",
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"subDir": null,
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"rev": "d3a1d25f3eba0d93a58d5d3d027ffa78ece07755",
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"name": "Qq",
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"inputRev?": "master",
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"inherited": true}},
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{"git":
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"manifestFile": "lake-manifest.json",
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"inputRev": "master",
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"inherited": true,
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"configFile": "lakefile.lean"},
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{"url": "https://github.com/leanprover-community/aesop",
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"subDir?": null,
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"rev": "cb87803274405db79ec578fc07c4730c093efb90",
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"opts": {},
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"type": "git",
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"subDir": null,
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"rev": "c7cff4551258d31c0d2d453b3f9cbca757d445f1",
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"name": "aesop",
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"inputRev?": "master",
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"inherited": true}},
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{"git":
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"manifestFile": "lake-manifest.json",
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"inputRev": "master",
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"inherited": true,
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"configFile": "lakefile.lean"},
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{"url": "https://github.com/leanprover-community/ProofWidgets4",
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"subDir?": null,
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"rev": "f1a5c7808b001305ba07d8626f45ee054282f589",
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"opts": {},
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"type": "git",
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"subDir": null,
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"rev": "909febc72b4f64628f8d35cd0554f8a90b6e0749",
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"name": "proofwidgets",
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"inputRev?": "v0.0.21",
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"inherited": true}}],
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"name": "bookshelf"}
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"manifestFile": "lake-manifest.json",
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"inputRev": "v0.0.23",
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"inherited": true,
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"configFile": "lakefile.lean"},
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{"url": "https://github.com/leanprover-community/mathlib4.git",
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"type": "git",
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"subDir": null,
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"rev": "f04afed5ac9fea0e1355bc6f6bee2bd01f4a888d",
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"name": "mathlib",
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"manifestFile": "lake-manifest.json",
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"inputRev": "v4.3.0",
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"inherited": false,
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"configFile": "lakefile.lean"}],
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"name": "bookshelf",
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"lakeDir": ".lake"}
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@ -22,10 +22,10 @@ require leanInk from git
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"doc-gen"
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require mathlib from git
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"https://github.com/leanprover-community/mathlib4.git" @
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"master"
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"v4.3.0"
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require std from git
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"https://github.com/leanprover/std4.git" @
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"main"
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"v4.3.0"
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-- ========================================
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-- Documentation Generator
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@ -1 +1 @@
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leanprover/lean4:v4.3.0-rc1
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leanprover/lean4:v4.3.0
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