Theorems · Theorem · general algebraic systems
sigmaFinsuppEquivDFinsupp_single
∀ {ι : Type u_1} {η : ι → Type u_4} {N : Type u_5} [inst : DecidableEq ι] [inst_1 : Zero N] (a : (i : ι) × η i) (n : N),
(sigmaFinsuppEquivDFinsupp fun₀ | a => n) = fun₀ | a.fst => fun₀ | a.snd => n- Defined in
- Mathlib.Data.Finsupp.ToDFinsupp
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 80 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- DecidableEqZero
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites12
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
- Equivstatement · cited by 8,337
- Finsuppstatement and proof · cited by 5,255
- Finsupp.singlestatement and proof · cited by 943
- DFinsuppstatement · cited by 694
- Finsupp.extproof · cited by 399
- DFinsupp.singlestatement · cited by 113
- Finsupp.single_applyproof · cited by 99
- DFinsupp.extproof · cited by 78
- DFinsupp.single_applyproof · cited by 35
- sigmaFinsuppEquivDFinsuppstatement · cited by 8
- Finsupp.split_applyproof · cited by 4
Cited by2
Results whose statement or proof uses this declaration.
- DirectSum.IsInternal.collectedBasis_coeproof · cited by 6
- DFinsupp.linearIndependent_singleproof · cited by 3