Theorems · Theorem · general algebraic systems
DFinsupp.extendWith_single_zero
∀ {ι : Type u} {α : Option ι → Type v} [inst : DecidableEq ι] [inst_1 : (i : Option ι) → Zero (α i)] (i : ι)
(x : α (some i)), (DFinsupp.extendWith 0 fun₀ | i => x) = fun₀ | some i => x- Defined in
- Mathlib.Data.DFinsupp.Defs
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 26 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- DecidableEqZero
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites11
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coeproof · cited by 62,936
- DFinsuppstatement · cited by 694
- DFinsupp.singlestatement and proof · cited by 113
- DFinsupp.extproof · cited by 78
- Option.some_injectiveproof · cited by 31
- Decidable.eq_or_neproof · cited by 28
- DFinsupp.single_eq_of_neproof · cited by 12
- DFinsupp.single_eq_sameproof · cited by 11
- DFinsupp.extendWithstatement · cited by 5
- DFinsupp.extendWith_noneproof · cited by 2
- DFinsupp.extendWith_someproof · cited by 2
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