Theorems · Theorem · group theory
Finset.prod_insert_div
∀ {ι : Type u_1} {G : Type u_3} {s : Finset ι} {a : ι} [inst : CommGroup G] [inst_1 : DecidableEq ι],
a ∉ s → ∀ (f : ι → G), (∏ x ∈ insert a s, f x) / f a = ∏ x ∈ s, f x- Cited by
- 0 results in Mathlib
- Foundations
- Depth 56 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- CommGroupDecidableEq
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Cites5
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
- Finset.prodstatement and proof · cited by 2,356
- CommGroupstatement and proof · cited by 990
- Finset.prod_insertproof · cited by 109
- mul_div_cancel_leftproof · cited by 9
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