Theorems · Definition
EquivLike.toEquiv
{α : Sort u} → {β : Sort v} → {F : Sort u_1} → [EquivLike F α β] → F → α ≃ βTurn an element of a type F satisfying EquivLike F α β into an actual
Equiv. This is declared as the default coercion from F to α ≃ β.
- Defined in
- Mathlib.Logic.Equiv.Defs
- Cited by
- 125 results in Mathlib
- Foundations
- Depth 10 from the axioms, rests on 53 definitions · uses Quot.sound
- Assumes
- EquivLike
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites6
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coeproof · cited by 62,936
- Equivstatement · cited by 8,337
- EquivLikestatement and proof · cited by 165
- EquivLike.invproof · cited by 42
- EquivLike.right_invproof · cited by 8
- EquivLike.left_invproof · cited by 6
Cited by169
Results whose statement or proof uses this declaration.
- MulEquivClass.toMulEquivproof · cited by 57
- AddEquivClass.toAddEquivproof · cited by 54
- EquivLike.range_eq_univproof · cited by 27
- IsGalois.card_aut_eq_finrankproof · cited by 16
- Finsupp.mapRange.addEquivproof · cited by 15
- AlgEquivClass.toAlgEquivproof · cited by 12
- OrderIsoClass.toOrderIsoproof · cited by 10
- Module.Projective.of_equivproof · cited by 9
- HomeomorphClass.toHomeomorphproof · cited by 8
- RingEquiv.toRatAlgEquivproof · cited by 8
- SkewMonoidAlgebra.domCongrAlgproof · cited by 7
- Algebra.IsPushout.symmproof · cited by 7