Theorems · Theorem · general algebraic systems
sigmaFinsuppEquivDFinsupp_support
∀ {ι : Type u_1} {η : ι → Type u_4} {N : Type u_5} [inst : DecidableEq ι] [inst_1 : Zero N]
[inst_2 : (i : ι) → (x : η i →₀ N) → Decidable (x ≠ 0)] (f : (i : ι) × η i →₀ N),
(sigmaFinsuppEquivDFinsupp f).support = f.splitSupport- Defined in
- Mathlib.Data.Finsupp.ToDFinsupp
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 80 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- DecidableEqZeroDecidable
Around this declaration
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Cites11
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement and proof · cited by 62,936
- Finsetstatement · cited by 13,712
- Equivstatement · cited by 8,337
- Finsuppstatement and proof · cited by 5,255
- DFinsuppstatement · cited by 694
- Finset.extproof · cited by 565
- DFinsupp.supportstatement · cited by 158
- sigmaFinsuppEquivDFinsuppstatement and proof · cited by 8
- DFinsupp.mem_support_toFunproof · cited by 6
- Finsupp.splitSupportstatement and proof · cited by 4
- Finsupp.mem_splitSupport_iff_nonzeroproof · cited by 1
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