Theorems · Theorem
Function.invFun_comp
∀ {α : Sort u_1} {β : Sort u_2} [inst : Nonempty α] {f : α → β}, Function.Injective f → Function.invFun f ∘ f = id- Defined in
- Mathlib.Logic.Function.Basic
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 15 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- Nonempty
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.invFunstatement · cited by 60
- Function.leftInverse_invFunproof · cited by 13
Cited by2
Results whose statement or proof uses this declaration.
- FreeGroup.map_injectiveproof · cited by 1
- FreeAddGroup.map_injectiveproof · cited by 1