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Theorems · Theorem · general algebraic systems

DFinsupp.single_add_erase

∀ {ι : Type u} {β : ι → Type v} [inst : DecidableEq ι] [inst_1 : (i : ι) → AddZeroClass (β i)] (i : ι)
  (f : Π₀ (i : ι), β i), (fun₀ | i => f i) + DFinsupp.erase i f = f
Defined in
Mathlib.Data.DFinsupp.Defs
Cited by
1 results in Mathlib
Foundations
Depth 25 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
DecidableEqAddZeroClass
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Around this declaration

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

DFinsupp.induction · cited by 5DFinsupp.inductionDFunLike.coe · cited by 62936DFunLike.coeadd_zero · cited by 2707add_zerozero_add · cited by 2366zero_addAddZeroClass · cited by 1237AddZeroClassDFinsupp · cited by 694DFinsuppDFinsupp.single · cited by 113DFinsupp.singleDFinsupp.ext · cited by 78DFinsupp.extDFinsupp.single_apply · cited by 35DFinsupp.single_applyDFinsupp.erase · cited by 29DFinsupp.eraseDFinsupp.single_add_eraseCITED BYCITES

Cites9

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Cited by1

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