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Theorems · Theorem · general algebraic systems

FunLike.coe_zero_iff

∀ {F : Type u_3} {α : Type u_5} {β : Type u_6} [inst : FunLike F α β] [inst_1 : Zero F] [inst_2 : Zero β]
  [IsZeroApply F α β] (f : F), ⇑f = 0 ↔ f = 0
Defined in
Mathlib.Data.FunLike.IsApply
Cited by
1 results in Mathlib
Foundations
Depth 7 from the axioms · uses propext, Quot.sound
Assumes
FunLikeZeroZeroIsZeroApply
Mathlib docsSourceLoogleLeanSearch

Around this declaration

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

ModularForm.coe_eq_zero_iff · cited by 0ModularForm.coe_eq_zero_i…DFunLike.coe · cited by 62936DFunLike.coeFunLike · cited by 2560FunLikezero_apply · cited by 251zero_applyDFunLike.ext_iff · cited by 102DFunLike.ext_iffIsZeroApply · cited by 72IsZeroApplyFunLike.coe_zero · cited by 40FunLike.coe_zeroFunLike.coe_zero_iffCITED BYCITES

Cites6

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Cited by1

Results whose statement or proof uses this declaration.