Theorems · Theorem · group theory
Finset.prod_erase_attach
∀ {ι : Type u_1} {M : Type u_3} [inst : CommMonoid M] [inst_1 : DecidableEq ι] {s : Finset ι} (f : ι → M) (i : ↥s),
∏ j ∈ s.attach.erase i, f ↑j = ∏ j ∈ s.erase ↑i, f j- Cited by
- 3 results in Mathlib
- Foundations
- Depth 78 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- CommMonoidDecidableEq
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites11
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coeproof · cited by 62,936
- Finsetstatement and proof · cited by 13,712
- Finset.prodstatement and proof · cited by 2,356
- CommMonoidstatement and proof · cited by 2,264
- Finset.erasestatement and proof · cited by 455
- Finset.attachstatement and proof · cited by 168
- Function.Embedding.subtypeproof · cited by 128
- Finset.prod_mapproof · cited by 75
- Finset.attach_map_valproof · cited by 6
- Finset.map_eraseproof · cited by 5
- Function.Embedding.coe_subtypeproof · cited by 3
Cited by3
Results whose statement or proof uses this declaration.
- HasFDerivWithinAt.finsetProdproof · cited by 3
- HasFDerivAt.finsetProdproof · cited by 3
- HasStrictFDerivAt.finsetProdproof · cited by 2