Theorems · Theorem · group theory
MulEquiv.mk.congr_simp
∀ {M : Type u_9} {N : Type u_10} [inst : Mul M] [inst_1 : Mul N] (toEquiv toEquiv_1 : M ≃ N)
(e_toEquiv : toEquiv = toEquiv_1) (map_mul' : ∀ (x y : M), toEquiv.toFun (x * y) = toEquiv.toFun x * toEquiv.toFun y),
{ toEquiv := toEquiv, map_mul' := map_mul' } = { toEquiv := toEquiv_1, map_mul' := ⋯ }- Defined in
- Mathlib.Algebra.Group.End
- Cited by
- 5 results in Mathlib
- Foundations
- Depth 5 from the axioms · uses no axioms
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.
- Equivstatement and proof · cited by 8,337
- MulEquivstatement · cited by 1,142
- Equiv.toFunstatement and proof · cited by 279
Cited by5
Results whose statement or proof uses this declaration.
- LinearOrderedCommGroupWithZero.discrete_iff_not_denselyOrderedproof · cited by 4
- MulAction.stabilizerEquivStabilizer_compTripleproof · cited by 1
- SubMulAction.fixingSubgroup_map_conj_eqproof · cited by 1
- CoxeterSystem.getElem_succ_leftInvSeq_alternatingWordproof · cited by 1
- RingEquiv.piCongrLeft'_symmproof · cited by 0