Theorems · Definition
Function.Involutive
{α : Sort u_1} → (α → α) → PropA function is involutive, if f ∘ f = id.
- Defined in
- Mathlib.Logic.Function.Basic
- Cited by
- 103 results in Mathlib
- Foundations
- Depth 1 from the axioms, rests on 2 definitions · uses no axioms
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites0
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
Nothing in Mathlib beyond the foundations.
Cited by114
Results whose statement or proof uses this declaration.
- Function.Involutive.injectivestatement and proof · cited by 26
- Function.Involutive.surjectivestatement and proof · cited by 23
- Function.Involutive.eq_iffstatement and proof · cited by 22
- Function.Involutive.bijectivestatement and proof · cited by 21
- Function.Involutive.toPermstatement and proof · cited by 16
- inv_involutivestatement · cited by 12
- compl_involutivestatement · cited by 11
- neg_involutivestatement · cited by 11
- Function.Involutive.comp_selfstatement and proof · cited by 11
- InvolutiveStar.star_involutivestatement · cited by 11
- List.reverse_involutivestatement · cited by 6
- EuclideanGeometry.inversion_involutivestatement · cited by 5