Theorems · Theorem · general algebraic systems
Finsupp.extendDomain_subtypeDomain
∀ {α : Type u_1} {M : Type u_12} [inst : Zero M] {P : α → Prop} [inst_1 : DecidablePred P] (f : α →₀ M),
(∀ a ∈ f.support, P a) → (Finsupp.subtypeDomain P f).extendDomain = f- Defined in
- Mathlib.Data.Finsupp.Basic
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 68 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- ZeroDecidablePred
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Cites8
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coeproof · cited by 62,936
- Finsetstatement · cited by 13,712
- Finsuppstatement and proof · cited by 5,255
- Finsupp.supportstatement and proof · cited by 828
- Finsupp.extproof · cited by 399
- Finsupp.subtypeDomainstatement and proof · cited by 26
- Finsupp.extendDomainstatement · cited by 11
- Finsupp.extendDomain_applyproof · cited by 4
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