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Theorems · Theorem · group theory

AddEquiv.ofBijective_apply

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

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

IsPrimitiveRoot.zmodEquivZPowers_apply_coe_int · cited by 3IsPrimitiveRoot.zmodEquiv…DFunLike.coe · cited by 62936DFunLike.coeFunLike · cited by 2560FunLikeAddEquiv · cited by 1087AddEquivFunction.Bijective · cited by 863Function.BijectiveAddHomClass · cited by 65AddHomClassAddEquiv.ofBijective · cited by 5AddEquiv.ofBijectiveAddEquiv.ofBijective_applyCITED BYCITES

Cites6

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Cited by1

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