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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
Assumes
MulMul

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.