Theorems · Theorem
Function.Involutive.injective
∀ {α : Sort u} {f : α → α}, Function.Involutive f → Function.Injective f- Defined in
- Mathlib.Logic.Function.Basic
- Cited by
- 26 results in Mathlib
- Foundations
- Depth 5 from the axioms · uses no axioms
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites2
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Function.Involutivestatement and proof · cited by 103
- Function.Involutive.leftInverseproof · cited by 5
Cited by26
Results whose statement or proof uses this declaration.
- neg_injectiveproof · cited by 35
- Function.Involutive.eq_iffproof · cited by 22
- compl_injectiveproof · cited by 22
- Function.Involutive.bijectiveproof · cited by 21
- inv_injectiveproof · cited by 17
- star_injectiveproof · cited by 8
- sbtw_pointReflection_of_neproof · cited by 5
- Matrix.reverse_charpolyproof · cited by 3
- Composition.reverse_injectiveproof · cited by 3
- List.reverse_injectiveproof · cited by 2
- QuadraticAlgebra.star_mem_nonZeroDivisorsproof · cited by 2
- symmDiff_left_injectiveproof · cited by 2