Theorems · Theorem · general algebraic systems
DFinsupp.comapDomain_single
∀ {ι : Type u} {β : ι → Type v} {κ : Type u_1} [inst : DecidableEq ι] [inst_1 : DecidableEq κ]
[inst_2 : (i : ι) → Zero (β i)] (h : κ → ι) (hh : Function.Injective h) (k : κ) (x : β (h k)),
(DFinsupp.comapDomain h hh fun₀ | h k => x) = fun₀ | k => x- Defined in
- Mathlib.Data.DFinsupp.Defs
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 80 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- DecidableEqDecidableEqZero
Around this declaration
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Cites9
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
- Decidable.eq_or_neproof · cited by 28
- DFinsupp.single_eq_of_neproof · cited by 12
- DFinsupp.single_eq_sameproof · cited by 11
- DFinsupp.comapDomainstatement · cited by 8
- DFinsupp.comapDomain_applyproof · cited by 4
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