13 lines
424 B
Plaintext
13 lines
424 B
Plaintext
import Mathlib.Init.Algebra.Classes
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/-! # Common.Algebra.Classes
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Additional theorems and definitions useful in the context of algebraic classes.
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-/
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/--
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`IsConnected X lt` means that the binary relation `lt` on `X` is connected, that
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is, either `lt a b` or `lt b a` for any distinct `a` and `b`.
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-/
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class IsConnected (α : Type u) (lt : α → α → Prop) : Prop where
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connected : ∀ a b, a ≠ b → lt a b ∨ lt b a |