Mathlib Map

Theorems · Theorem · general algebraic systems

Finsupp.coe_eq_zero

∀ {α : Type u_1} {M : Type u_4} [inst : Zero M] {f : α →₀ M}, ⇑f = 0 ↔ f = 0
Defined in
Mathlib.Data.Finsupp.Defs
Cited by
1 results in Mathlib
Foundations
Depth 60 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
Zero
Mathlib docsSourceLoogleLeanSearch

Around this declaration

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

Matrix.posDef_iff_dotProduct_mulVec · cited by 3Matrix.posDef_iff_dotProd…DFunLike.coe · cited by 62936DFunLike.coeFinsupp · cited by 5255FinsuppDFunLike.coe_fn_eq · cited by 18DFunLike.coe_fn_eqFinsupp.coe_zero · cited by 4Finsupp.coe_zeroFinsupp.coe_eq_zeroCITED BYCITES

Cites4

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

Cited by1

Results whose statement or proof uses this declaration.