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Theorems · Theorem · order theory

StrictMono.le_id

∀ {β : Type u_2} [inst : LinearOrder β] [WellFoundedGT β] {f : β → β}, StrictMono f → f ≤ id

A strictly monotone function f on a cowell-order satisfies f x ≤ x for all x.

Defined in
Mathlib.Order.WellFounded
Cited by
1 results in Mathlib
Foundations
Depth 18 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
LinearOrderWellFoundedGT

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