Theorems · Theorem
Equiv.ext
∀ {α : Sort u} {β : Sort v} {f g : α ≃ β}, (∀ (x : α), f x = g x) → f = g- Defined in
- Mathlib.Logic.Equiv.Defs
- Cited by
- 102 results in Mathlib
- Foundations
- Depth 14 from the axioms, rests on 57 definitions · uses Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites3
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement and proof · cited by 62,936
- Equivstatement and proof · cited by 8,337
- DFunLike.extproof · cited by 240
Cited by102
Results whose statement or proof uses this declaration.
- Equiv.Perm.extproof · cited by 75
- LinearEquiv.toLinearMap_injectiveproof · cited by 29
- Matrix.det_diagonalproof · cited by 27
- Equiv.Perm.Disjoint.commuteproof · cited by 23
- Equiv.swap_selfproof · cited by 18
- CategoryTheory.Adjunction.mkOfHomEquiv_homEquivproof · cited by 14
- Equiv.swap_commproof · cited by 11
- RootPairing.Equiv.reflection_invproof · cited by 5
- Equiv.Perm.IsCycle.cycleOf_eqproof · cited by 5
- Equiv.ext_iffproof · cited by 4
- Equiv.piCongrLeft'_symmproof · cited by 4
- LieModuleEquiv.extproof · cited by 4