Theorems · Theorem
Function.apply_invFun_apply
∀ {α : Type u_3} {β : Type u_4} {f : α → β} {a : α}, f (Function.invFun f (f a)) = f a- Defined in
- Mathlib.Logic.Function.Basic
- Cited by
- 5 results in Mathlib
- Foundations
- Depth 14 from the axioms · uses propext, Classical.choice, Quot.sound
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.invFun_eqproof · cited by 10
Cited by5
Results whose statement or proof uses this declaration.
- AddMonoidAlgebra.leadingCoeff_add_eq_leftproof · cited by 2
- sup_eq_of_maxproof · cited by 2
- TopologicalAddGroup.IsSES.integral_pullback_invFun_applyproof · cited by 1
- TopologicalGroup.IsSES.integral_pullback_invFun_applyproof · cited by 1
- IsOpenMap.separableSpace_of_isInducingproof · cited by 0