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Theorems · Theorem

EquivLike.bijective

∀ {E : Sort u_1} {α : Sort u_3} {β : Sort u_4} [inst : EquivLike E α β] (e : E), Function.Bijective ⇑e
Defined in
Mathlib.Data.FunLike.Equiv
Cited by
15 results in Mathlib
Foundations
Depth 11 from the axioms · uses Quot.sound
Assumes
EquivLike
Mathlib docsSourceLoogleLeanSearch

Around this declaration

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

Equiv.bijective · cited by 132Equiv.bijectiveRingEquiv.bijective · cited by 22RingEquiv.bijectiveAlgEquiv.bijective · cited by 22AlgEquiv.bijectiveEquivLike.injective_comp · cited by 4EquivLike.injective_compMulEquiv.bijective · cited by 4MulEquiv.bijectiveEquivLike.comp_bijective · cited by 3EquivLike.comp_bijectiveEquivLike.comp_surjective · cited by 3EquivLike.comp_surjectiveAddEquiv.bijective · cited by 2AddEquiv.bijectiveEquivLike.bijective_comp · cited by 2EquivLike.bijective_compAdicCompletion.ofTensorProduct_bijective_of_pi_of_fintype · cited by 1AdicCompletion.ofTensorPr…ContinuousAddEquiv.bijective · cited by 0ContinuousAddEquiv.biject…ContinuousMulEquiv.bijective · cited by 0ContinuousMulEquiv.biject…EquivLike.pairwise_comp_iff · cited by 0EquivLike.pairwise_comp_i…AddMonoidHom.isStrictMap_iff_isHomeomorph_quotientKerEquivRange · cited by 0AddMonoidHom.isStrictMap_…FirstOrder.Language.Equiv.bijective · cited by 0Equiv.bijectiveDFunLike.coe · cited by 62936DFunLike.coeFunction.Bijective · cited by 863Function.BijectiveEquivLike · cited by 165EquivLikeEquivLike.injective · cited by 32EquivLike.injectiveEquivLike.surjective · cited by 24EquivLike.surjectiveEquivLike.bijectiveCITED BYCITES

Cites5

Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.

Cited by15

Results whose statement or proof uses this declaration.