Theorems · Inductive type · group theory
MulEquiv
(M : Type u_9) → (N : Type u_10) → [Mul M] → [Mul N] → Type (max u_10 u_9)
MulEquiv α β is the type of an equiv α ≃ β which preserves multiplication.
- Defined in
- Mathlib.Algebra.Group.Equiv.Defs
- Cited by
- 1,142 results in Mathlib
- Foundations
- Depth 1 from the axioms, rests on 2 definitions · uses no axioms
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites0
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
Nothing in Mathlib beyond the foundations.
Cited by1,623
Results whose statement or proof uses this declaration.
- RingEquiv.symmproof · cited by 567
- MulEquiv.symmstatement and proof · cited by 482
- MulAutproof · cited by 158
- MulEquiv.toEquivstatement and proof · cited by 126
- MulEquiv.toMonoidHomstatement and proof · cited by 126
- RingEquiv.reflproof · cited by 72
- MulEquivClass.toMulEquivstatement · cited by 57
- ConjAct.toConjActstatement · cited by 56
- RingEquiv.transproof · cited by 54
- MulEquiv.transstatement and proof · cited by 53
- MulEquiv.surjectivestatement and proof · cited by 41
- MulEquiv.apply_symm_applystatement and proof · cited by 37
Showing the 200 most cited of 1,623.