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Theorems · Theorem · order theory

StrictMono.iterate

∀ {α : Type u} [inst : Preorder α] {f : α → α}, StrictMono f → ∀ (n : ℕ), StrictMono f^[n]
Defined in
Mathlib.Order.Monotone.Defs
Cited by
3 results in Mathlib
Foundations
Depth 7 from the axioms · uses no axioms
Assumes
Preorder
Mathlib docsSourceLoogleLeanSearch

Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

Ordinal.iterate_lt_nfp · cited by 2Ordinal.iterate_lt_nfpStrictMono.strictMono_iterate_of_lt_map · cited by 1StrictMono.strictMono_ite…Function.Commute.iterate_pos_lt_of_map_lt · cited by 1Commute.iterate_pos_lt_of…Preorder · cited by 7952PreorderNat.iterate · cited by 740Nat.iterateStrictMono · cited by 706StrictMonoStrictMono.comp · cited by 36StrictMono.compstrictMono_id · cited by 16strictMono_idStrictMono.iterateCITED BYCITES

Cites5

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Cited by3

Results whose statement or proof uses this declaration.