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Theorems · Theorem · order theory

IsOrderConnected.conn

∀ {α : Type u} {lt : α → α → Prop} [self : IsOrderConnected α lt] (a b c : α), lt a c → lt a b ∨ lt b c

A connected order is one satisfying the condition a < c → a < b ∨ b < c.

Defined in
Mathlib.Order.RelClasses
Cited by
1 results in Mathlib
Foundations
Depth 1 from the axioms · uses no axioms
Assumes
IsOrderConnected

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