Theorems · Definition · group theory
MulEquiv.toEquiv
{M : Type u_9} → {N : Type u_10} → [inst : Mul M] → [inst_1 : Mul N] → M ≃* N → M ≃ NThe Equiv underlying a MulEquiv.
- Defined in
- Mathlib.Algebra.Group.Equiv.Defs
- Cited by
- 126 results in Mathlib
- Foundations
- Depth 2 from the axioms, rests on 4 definitions · 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.
Cited by176
Results whose statement or proof uses this declaration.
- RingEquiv.symmproof · cited by 567
- MulEquiv.symmproof · cited by 482
- MulEquiv.toMonoidHomproof · cited by 126
- RingEquiv.reflproof · cited by 72
- RingEquiv.transproof · cited by 54
- MulEquiv.transproof · cited by 53
- MulEquiv.apply_symm_applyproof · cited by 37
- MulEquiv.symm_apply_applyproof · cited by 17
- RingEquivClass.toRingEquivproof · cited by 12
- MulEquiv.toMulHomproof · cited by 9
- ContinuousMulEquiv.toHomeomorphproof · cited by 8
- RingEquiv.opOpproof · cited by 6