Theorems · Theorem · general algebraic systems
Nat.cast_finsupp_sum
∀ {α : Type u_1} {M : Type u_5} {R : Type u_10} [inst : Zero M] (f : α →₀ M) [inst_1 : AddCommMonoidWithOne R]
(g : α → M → ℕ), ↑(f.sum g) = f.sum fun a b => ↑(g a b)- Defined in
- Mathlib.Data.Finsupp.Basic
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 60 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- ZeroAddCommMonoidWithOne
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Cites6
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coeproof · cited by 62,936
- Finsuppstatement and proof · cited by 5,255
- Finsupp.supportproof · cited by 828
- Finsupp.sumstatement · cited by 481
- AddCommMonoidWithOnestatement and proof · cited by 42
- Nat.cast_sumproof · cited by 38
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