Theorems · Theorem · ring theory
MonoidAlgebra.ofCoeff_finsuppSum
∀ {R : Type u_1} {M : Type u_4} {N : Type u_5} {ι : Type u_7} [inst : Semiring R] [inst_1 : AddCommMonoid N]
(f : ι →₀ N) (g : ι → N → M →₀ R), MonoidAlgebra.ofCoeff (f.sum g) = f.sum fun i n => MonoidAlgebra.ofCoeff (g i n)- Defined in
- Mathlib.Algebra.MonoidAlgebra.Defs
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 74 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- SemiringAddCommMonoid
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Cites8
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Semiringstatement and proof · cited by 13,802
- AddCommMonoidstatement and proof · cited by 12,281
- Finsuppstatement and proof · cited by 5,255
- MonoidAlgebrastatement · cited by 590
- AddEquiv.symmproof · cited by 530
- Finsupp.sumstatement · cited by 481
- map_finsuppSumproof · cited by 43
- MonoidAlgebra.coeffAddEquivproof · cited by 11
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