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Theorems · Theorem · group theory

MulEquiv.ofBijective_apply

∀ {M : Type u_9} {N : Type u_10} {F : Type u_11} [inst : Mul M] [inst_1 : Mul N] [inst_2 : FunLike F M N]
  [inst_3 : MulHomClass F M N] (f : F) (hf : Function.Bijective ⇑f) (a : M), (MulEquiv.ofBijective f hf) a = f a
Defined in
Mathlib.Algebra.Group.Equiv.Defs
Cited by
2 results in Mathlib
Foundations
Depth 17 from the axioms · uses Classical.choice, Quot.sound
Assumes
MulMulFunLikeMulHomClass
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Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

mulintEquivOfZPowersEqTop_strictMono · cited by 1mulintEquivOfZPowersEqTop…mulintEquivOfZPowersEqTop_strictAnti · cited by 0mulintEquivOfZPowersEqTop…DFunLike.coe · cited by 62936DFunLike.coeFunLike · cited by 2560FunLikeMulEquiv · cited by 1142MulEquivFunction.Bijective · cited by 863Function.BijectiveMulHomClass · cited by 73MulHomClassMulEquiv.ofBijective · cited by 5MulEquiv.ofBijectiveMulEquiv.ofBijective_applyCITED BYCITES

Cites6

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Cited by2

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