Theorems · Theorem · combinatorics
Fin.sum_trunc
∀ {M : Type u_2} [inst : AddCommMonoid M] {a b : ℕ} (f : Fin (a + b) → M),
(∀ (j : Fin b), f (Fin.natAdd a j) = 0) → ∑ i, f i = ∑ i, f (Fin.castAdd b i)- Defined in
- Mathlib.Algebra.BigOperators.Fin
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 67 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.
Cites6
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- AddCommMonoidstatement and proof · cited by 12,281
- Finset.sumstatement and proof · cited by 5,195
- Finset.univstatement and proof · cited by 3,473
- add_zeroproof · cited by 2,707
- Fintype.sum_eq_zeroproof · cited by 7
- Fin.sum_univ_addproof · cited by 2
Cited by1
Results whose statement or proof uses this declaration.
- AlgebraicTopology.DoldKan.HigherFacesVanish.comp_Hσ_eqproof · cited by 4