Theorems · Theorem · general algebraic systems
sigmaFinsuppLequivDFinsupp_apply
∀ {ι : Type u_1} (R : Type u_2) {η : ι → Type u_4} {N : Type u_5} [inst : Semiring R] [inst_1 : AddCommMonoid N]
[inst_2 : Module R N] (a : (i : ι) × η i →₀ N),
(sigmaFinsuppLequivDFinsupp R) a = sigmaFinsuppAddEquivDFinsupp.toFun a- Defined in
- Mathlib.Data.Finsupp.ToDFinsupp
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 84 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- SemiringAddCommMonoidModule
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
- Modulestatement and proof · cited by 20,661
- RingHom.idstatement · cited by 18,349
- Semiringstatement and proof · cited by 13,802
- AddCommMonoidstatement and proof · cited by 12,281
- Finsuppstatement and proof · cited by 5,255
- LinearEquivstatement · cited by 3,317
- DFinsuppstatement · cited by 694
- Equiv.toFunstatement · cited by 279
- AddEquiv.toEquivstatement · cited by 174
- sigmaFinsuppAddEquivDFinsuppstatement · cited by 5
- sigmaFinsuppLequivDFinsuppstatement and proof · cited by 3
Cited by2
Results whose statement or proof uses this declaration.
- DirectSum.IsInternal.collectedBasis_coeproof · cited by 6
- DFinsupp.linearIndependent_singleproof · cited by 3