Theorems · Theorem · ring theory
TrivSqZeroExt.fst_sum
∀ {R : Type u} {M : Type v} {ι : Type u_3} [inst : AddCommMonoid R] [inst_1 : AddCommMonoid M] (s : Finset ι)
(f : ι → TrivSqZeroExt R M), (∑ i ∈ s, f i).fst = ∑ i ∈ s, (f i).fst- Defined in
- Mathlib.Algebra.TrivSqZeroExt.Basic
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 17 from the axioms · uses propext, Quot.sound
- Assumes
- AddCommMonoidAddCommMonoid
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Cites6
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Finsetstatement and proof · cited by 13,712
- AddCommMonoidstatement and proof · cited by 12,281
- Finset.sumstatement · cited by 5,195
- TrivSqZeroExtstatement and proof · cited by 180
- TrivSqZeroExt.fststatement · cited by 96
- Prod.fst_sumproof · cited by 5
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