Theorems · Theorem · group theory
Finset.even_sum
∀ {ι : Type u_1} {M : Type u_3} [inst : AddCommMonoid M] {s : Finset ι} (f : ι → M),
(∀ c ∈ s, Even (f c)) → Even (∑ i ∈ s, f i)- Cited by
- 0 results in Mathlib
- Foundations
- Depth 79 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- AddCommMonoid
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites9
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 and proof · cited by 5,195
- Finset.univproof · cited by 3,473
- Evenstatement and proof · cited by 444
- Finset.sum_add_distribproof · cited by 131
- two_nsmulproof · cited by 67
- Finset.sum_coe_sortproof · cited by 24
- even_iff_exists_two_nsmulproof · cited by 6
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