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Theorems · Theorem

DFunLike.coe_fn_eq

∀ {F : Sort u_1} {α : Sort u_2} {β : α → Sort u_3} [i : DFunLike F α β] {f g : F}, ⇑f = ⇑g ↔ f = g
Defined in
Mathlib.Data.FunLike.Basic
Cited by
18 results in Mathlib
Foundations
Depth 4 from the axioms · uses no axioms
Assumes
DFunLike
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Around this declaration

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

DFunLike.ext_iff · cited by 102DFunLike.ext_iffDFunLike.ext'_iff · cited by 21DFunLike.ext'_iffEquiv.coe_inj · cited by 6Equiv.coe_injinjective_of_isLocalization_isMaximal · cited by 2injective_of_isLocalizati…Algebra.TensorProduct.includeLeft_bijective · cited by 2TensorProduct.includeLeft…surjective_of_isLocalization_isMaximal · cited by 2surjective_of_isLocalizat…BoundedContinuousFunction.toLp_inj · cited by 1BoundedContinuousFunction…Finsupp.coe_eq_zero · cited by 1Finsupp.coe_eq_zeroFinset.finsuppAntidiag_zero · cited by 0Finset.finsuppAntidiag_ze…GradedAlgHom.coe_fn_inj · cited by 0GradedAlgHom.coe_fn_injArithmeticFunction.coe_inj · cited by 0ArithmeticFunction.coe_injMultilinearMap.coe_inj · cited by 0MultilinearMap.coe_injAddChar.coe_eq_one · cited by 0AddChar.coe_eq_oneBialgHom.coe_fn_inj · cited by 0BialgHom.coe_fn_injBoxIntegral.BoxAdditiveMap.coe_inj · cited by 0BoxAdditiveMap.coe_injDFunLike.coe · cited by 62936DFunLike.coeDFunLike · cited by 576DFunLikeDFunLike.coe_injective · cited by 161DFunLike.coe_injectiveDFunLike.coe_fn_eqCITED BYCITES

Cites3

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Cited by18

Results whose statement or proof uses this declaration.