Theorems · Theorem · commutative algebra
finsuppLEquivDirectSum_apply
∀ (R : Type u) (M : Type v) [inst : Semiring R] [inst_1 : AddCommMonoid M] [inst_2 : Module R M] (ι : Type u_1) [inst_3 : DecidableEq ι] (m : ι →₀ M) (i : ι), ((finsuppLEquivDirectSum R M ι) m) i = m i
- Defined in
- Mathlib.Algebra.DirectSum.Finsupp
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 86 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites10
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
- DirectSumstatement · cited by 446
- finsuppLEquivDirectSumstatement and proof · cited by 10
Cited by1
Results whose statement or proof uses this declaration.
- IsBaseChange.finsuppPowproof · cited by 0