Theorems · Theorem · category theory
AddEquiv.ofBijective.congr_simp
∀ {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_1 : F) (e_f : f = f_1) (hf : Function.Bijective ⇑f),
AddEquiv.ofBijective f hf = AddEquiv.ofBijective f_1 ⋯- Defined in
- Mathlib.Algebra.Category.Grp.Colimits
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 14 from the axioms · uses Classical.choice
- Assumes
- AddAddFunLikeAddHomClass
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Cites6
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
- FunLikestatement and proof · cited by 2,560
- AddEquivstatement · cited by 1,087
- Function.Bijectivestatement and proof · cited by 863
- AddHomClassstatement and proof · cited by 65
- AddEquiv.ofBijectivestatement and proof · cited by 5
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