Theorems · Theorem · general algebraic systems
DFinsupp.toFinsupp_single
∀ {ι : Type u_1} {M : Type u_3} [inst : DecidableEq ι] [inst_1 : Zero M] [inst_2 : (m : M) → Decidable (m ≠ 0)] (i : ι)
(m : M), (fun₀ | i => m).toFinsupp = fun₀ | i => m- Defined in
- Mathlib.Data.Finsupp.ToDFinsupp
- Cited by
- 8 results in Mathlib
- Foundations
- Depth 81 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- DecidableEqZeroDecidable
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites7
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Finsuppstatement · cited by 5,255
- Finsupp.singlestatement · cited by 943
- Finsupp.extproof · cited by 399
- DFinsupp.singlestatement · cited by 113
- Finsupp.single_applyproof · cited by 99
- DFinsupp.single_applyproof · cited by 35
- DFinsupp.toFinsuppstatement · cited by 13
Cited by8
Results whose statement or proof uses this declaration.
- finsuppLEquivDirectSum_symm_lofproof · cited by 4
- MultilinearMap.freeFinsuppEquiv_singleproof · cited by 2
- Finsupp.linearIndependent_singleproof · cited by 2
- PiTensorProduct.ofFinsuppEquiv_tprod_singleproof · cited by 2
- DirectSum.toAddMonoidAlgebra_natCastproof · cited by 1
- DirectSum.toAddMonoidAlgebra_intCastproof · cited by 0
- DirectSum.toAddMonoidAlgebra_ofproof · cited by 0
- DirectSum.toAddMonoidAlgebra_oneproof · cited by 0