Theorems · Theorem · number theory
Function.Involutive.iterate_odd
∀ {α : Type u_4} {f : α → α} {n : ℕ}, Function.Involutive f → Odd n → f^[n] = f- Defined in
- Mathlib.Algebra.Ring.Parity
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 25 from the axioms · uses propext, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites6
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Nat.iteratestatement and proof · cited by 740
- Oddstatement and proof · cited by 364
- Function.Involutivestatement and proof · cited by 103
- Function.iterate_oneproof · cited by 34
- Function.iterate_addproof · cited by 11
- Function.Involutive.iterate_two_mulproof · cited by 3
Cited by2
Results whose statement or proof uses this declaration.
- Function.Involutive.iterate_eq_idproof · cited by 0
- Function.Involutive.iterate_eq_selfproof · cited by 0