Theorems · Theorem · general algebraic systems
Finsupp.extendDomain_eq_embDomain_subtype
∀ {α : Type u_1} {M : Type u_12} [inst : Zero M] {P : α → Prop} [inst_1 : DecidablePred P] (f : Subtype P →₀ M),
f.extendDomain = Finsupp.embDomain (Function.Embedding.subtype P) 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
Around this declaration
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Cites10
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coeproof · cited by 62,936
- Finsuppstatement and proof · cited by 5,255
- Finsupp.extproof · cited by 399
- Subtype.range_coe_subtypeproof · cited by 170
- Function.Embedding.subtypestatement and proof · cited by 128
- Finsupp.embDomainstatement · cited by 69
- Finsupp.embDomain_apply_selfproof · cited by 15
- Finsupp.extendDomainstatement and proof · cited by 11
- Finsupp.embDomain_of_notMem_rangeproof · cited by 9
- Finsupp.extendDomain_applyproof · cited by 4
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