248 lines
3.7 KiB
Plaintext
248 lines
3.7 KiB
Plaintext
/--
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Bald Eagle
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`E'xy₁y₂y₃z₁z₂z₃ = x(y₁y₂y₃)(z₁z₂z₃)`
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-/
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def E' (x : α → β → γ)
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(y₁ : δ → ε → α) (y₂ : δ) (y₃ : ε)
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(z₁ : ζ → η → β) (z₂ : ζ) (z₃ : η) := x (y₁ y₂ y₃) (z₁ z₂ z₃)
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/--
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Becard
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`B₃xyzw = x(y(zw))`
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-/
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def B₃ (x : α → ε) (y : β → α) (z : γ → β) (w : γ) := x (y (z w))
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/--
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Blackbird
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`B₁xyzw = x(yzw)`
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-/
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def B₁ (x : α → ε) (y : β → γ → α) (z : β) (w : γ) := x (y z w)
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/--
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Bluebird
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`Bxyz = x(yz)`
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-/
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def B (x : α → γ) (y : β → α) (z : β) := x (y z)
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/--
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Bunting
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`B₂xyzwv = x(yzwv)`
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-/
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def B₂ (x : α → ζ) (y : β → γ → ε → α) (z : β) (w : γ) (v : ε) := x (y z w v)
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/--
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Cardinal Once Removed
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`C*xyzw = xywz`
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-/
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def C_star (x : α → β → γ → δ) (y : α) (z : γ) (w : β) := x y w z
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notation "C*" => C_star
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/--
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Cardinal
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`Cxyz = xzy`
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-/
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def C (x : α → β → δ) (y : β) (z : α) := x z y
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/--
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Converse Warbler
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`W'xy = yxx`
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-/
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def W' (x : α) (y : α → α → β) := y x x
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/--
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Dickcissel
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`D₁xyzwv = xyz(wv)`
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-/
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def D₁ (x : α → β → δ → ε) (y : α) (z : β) (w : γ → δ) (v : γ) := x y z (w v)
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/--
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Dove
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`Dxyzw = xy(zw)`
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-/
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def D (x : α → γ → δ) (y : α) (z : β → γ) (w : β) := x y (z w)
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/--
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Dovekie
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`D₂xyzwv = x(yz)(wv)`
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-/
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def D₂ (x : α → δ → ε) (y : β → α) (z : β) (w : γ → δ) (v : γ) := x (y z) (w v)
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/--
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Eagle
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`Exyzwv = xy(zwv)`
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-/
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def E (x : α → δ → ε) (y : α) (z : β → γ → δ) (w : β) (v : γ) := x y (z w v)
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/--
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Finch Once Removed
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`F*xyzw = xwzy`
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-/
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def F_star (x : α → β → γ → δ) (y : γ) (z : β) (w : α) := x w z y
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notation "F*" => F_star
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/--
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Finch
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`Fxyz = zyx`
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-/
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def F (x : α) (y : β) (z : β → α → γ) := z y x
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/--
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Goldfinch
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`Gxyzw = xw(yz)`
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-/
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def G (x : α → γ → δ) (y : β → γ) (z : β) (w : α) := x w (y z)
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/--
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Hummingbird
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`Hxyz = xyzy`
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-/
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def H (x : α → β → α → γ) (y : α) (z : β) := x y z y
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/--
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Identity Bird
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`Ix = x`
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-/
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def I (x : α) : α := x
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/--
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Kestrel
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`Kxy = x`
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-/
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def K (x : α) (_ : β) := x
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/--
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Owl
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`Oxy = y(xy)`
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-/
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def O (x : (α → β) → α) (y : α → β) := y (x y)
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/--
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Phoenix
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`Φxyzw = x(yw)(zw)`
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-/
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def Φ (x : β → γ → δ) (y : α → β) (z : α → γ) (w : α) := x (y w) (z w)
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/--
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Psi Bird
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`Ψxyzw = x(yz)(yw)`
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-/
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def Ψ (x : α → α → γ) (y : β → α) (z : β) (w : β) := x (y z) (y w)
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/--
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Quacky Bird
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`Q₄xyz = z(yx)`
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-/
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def Q₄ (x : α) (y : α → β) (z : β → γ) := z (y x)
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/--
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Queer Bird
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`Qxyz = y(xz)`
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-/
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def Q (x : α → β) (y : β → γ) (z : α) := y (x z)
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/--
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Quirky Bird
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`Q₃xyz = z(xy)`
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-/
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def Q₃ (x : α → β) (y : α) (z : β → γ) := z (x y)
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/--
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Quixotic Bird
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`Q₁xyz = x(zy)`
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-/
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def Q₁ (x : α → γ) (y : β) (z : β → α) := x (z y)
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/--
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Quizzical Bird
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`Q₂xyz = y(zx)`
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-/
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def Q₂ (x : α) (y : β → γ) (z : α → β) := y (z x)
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/--
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Robin Once Removed
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`R*xyzw = xzwy`
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-/
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def R_star (x : α → β → γ → δ) (y : γ) (z : α) (w : β) := x z w y
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notation "R*" => R_star
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/--
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Robin
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`Rxyz = yzx`
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-/
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def R (x : α) (y : β → α → γ) (z : β) := y z x
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/--
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Sage Bird
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`Θx = x(Θx)`
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-/
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partial def Θ [Inhabited α] (x : α → α) := x (Θ x)
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/--
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Starling
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`Sxyz = xz(yz)`
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-/
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def S (x : α → β → γ) (y : α → β) (z : α) := x z (y z)
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/--
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Thrush
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`Txy = yx`
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-/
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def T (x : α) (y : α → β) := y x
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/--
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Vireo Once Removed
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`V*xyzw = xwyz`
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-/
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def V_star (x : α → β → γ → δ) (y : β) (z : γ) (w : α) := x w y z
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notation "V*" => V_star
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/--
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Vireo
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`Vxyz = zxy`
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-/
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def V (x : α) (y : β) (z : α → β → γ) := z x y
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/--
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Warbler
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`Wxy = xyy`
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-/
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def W (x : α → α → β) (y : α) := x y y
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