Mathlib Map

Theorems · Theorem · general algebraic systems

DFinsupp.zero_apply

∀ {ι : Type u} {β : ι → Type v} [inst : (i : ι) → Zero (β i)] (i : ι), 0 i = 0
Defined in
Mathlib.Data.DFinsupp.Defs
Cited by
4 results in Mathlib
Foundations
Depth 21 from the axioms · uses propext, Quot.sound
Assumes
Zero
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Around this declaration

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

iSupIndep.dfinsupp_lsum_injective · cited by 5iSupIndep.dfinsupp_lsum_i…DFinsupp.comapDomain'_zero · cited by 0DFinsupp.comapDomain'_zeroDFinsupp.extendWith_zero · cited by 0DFinsupp.extendWith_zeroDFinsupp.comapDomain_zero · cited by 0DFinsupp.comapDomain_zeroDFunLike.coe · cited by 62936DFunLike.coeDFinsupp · cited by 694DFinsuppDFinsupp.zero_applyCITED BYCITES

Cites2

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

Cited by4

Results whose statement or proof uses this declaration.