Theorems · Theorem · group theory
MulEquiv.symm_map_mul
∀ {M : Type u_9} {N : Type u_10} [inst : Mul M] [inst_1 : Mul N] (h : M ≃* N) (x y : N),
h.symm (x * y) = h.symm x * h.symm yAn alias for h.symm.map_mul. Introduced to fix the issue in
https://leanprover.zulipchat.com/#narrow/stream/287929-mathlib4/topic/!4.234183.20.60simps.60.20maximum.20recursion.20depth
- Defined in
- Mathlib.Algebra.Group.Equiv.Defs
- Cited by
- 3 results in Mathlib
- Foundations
- Depth 14 from the axioms · uses Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites10
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 · cited by 8,337
- Equiv.symmstatement and proof · cited by 3,681
- MulEquivstatement and proof · cited by 1,142
- map_mulproof · cited by 1,137
- MulEquiv.toEquivstatement and proof · cited by 126
- Equiv.right_invproof · cited by 68
- Equiv.left_invproof · cited by 59
- MulEquiv.toMulHomproof · cited by 9
- MulHom.inverseproof · cited by 3
Cited by4
Results whose statement or proof uses this declaration.
- MulEquiv.symmproof · cited by 482
- RingEquiv.piCongrLeft'_symmproof · cited by 0
- MulEquiv.symm_mkstatement · cited by 0
- CategoryTheory.yonedaGrpObjIsoOfRepresentableBy_invstatement · cited by 0