Theorems · Theorem · combinatorics
Fin.sum_Iic_castLE
∀ {M : Type u_2} [inst : AddCommMonoid M] {n m : ℕ} (h : n ≤ m) (f : Fin m → M) (a : Fin n),
∑ i ≤ Fin.castLE h a, f i = ∑ i ≤ a, f (Fin.castLE h i)- Defined in
- Mathlib.Algebra.BigOperators.Fin
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 62 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- AddCommMonoid
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Cites9
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.sum_congrproof · cited by 2,323
- Finset.mapproof · cited by 747
- Finset.Iicstatement and proof · cited by 280
- Finset.sum_mapproof · cited by 115
- Fin.castLEEmbproof · cited by 34
- Fin.castLEEmb_applyproof · cited by 22
- Fin.map_castLEEmb_Iicproof · cited by 2
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