Theorems · Theorem · general algebraic systems
Finsupp.subtypeDomain_eq_zero_iff
∀ {α : Type u_1} {M : Type u_5} [inst : Zero M] {p : α → Prop} {f : α →₀ M},
(∀ x ∈ f.support, p x) → (Finsupp.subtypeDomain p f = 0 ↔ f = 0)- Defined in
- Mathlib.Data.Finsupp.Basic
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 65 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- Zero
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Cites5
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Finsetstatement · cited by 13,712
- Finsuppstatement and proof · cited by 5,255
- Finsupp.supportstatement and proof · cited by 828
- Finsupp.subtypeDomainstatement · cited by 26
- Finsupp.subtypeDomain_eq_iffproof · cited by 2
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