Theorems · Theorem · real analysis
OrderedFinpartition.prod_sigma_eq_prod
∀ {n : ℕ} (c : OrderedFinpartition n) {α : Type u_5} [inst : CommMonoid α] (v : Fin n → α),
∏ m, ∏ r, v (c.emb m r) = ∏ i, v i- Cited by
- 1 results in Mathlib
- Foundations
- Depth 67 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- CommMonoid
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites10
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Finset.univstatement and proof · cited by 3,473
- Finset.prodstatement and proof · cited by 2,356
- CommMonoidstatement and proof · cited by 2,264
- OrderedFinpartitionstatement and proof · cited by 61
- OrderedFinpartition.lengthstatement and proof · cited by 54
- OrderedFinpartition.partSizestatement and proof · cited by 47
- OrderedFinpartition.embstatement and proof · cited by 26
- Fintype.prod_equivproof · cited by 18
- Finset.prod_sigma'proof · cited by 7
- OrderedFinpartition.equivSigmaproof · cited by 2
Cited by1
Results whose statement or proof uses this declaration.
- OrderedFinpartition.norm_compAlongOrderedFinpartition_leproof · cited by 1