Theorems · Theorem · group theory
Finset.prod_sdiff_div_prod_sdiff
∀ {ι : Type u_1} {G : Type u_3} {s₁ s₂ : Finset ι} [inst : CommGroup G] [inst_1 : DecidableEq ι] {f : ι → G},
(∏ x ∈ s₂ \ s₁, f x) / ∏ x ∈ s₁ \ s₂, f x = (∏ x ∈ s₂, f x) / ∏ x ∈ s₁, f x- Cited by
- 0 results in Mathlib
- Foundations
- Depth 66 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- CommGroupDecidableEq
Around this declaration
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Cites11
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
- CommMonoidproof · cited by 2,264
- CommGroupstatement and proof · cited by 990
- Finset.prod_congrproof · cited by 646
- inf_le_leftproof · cited by 286
- inf_le_rightproof · cited by 238
- Finset.prod_sdiffproof · cited by 10
- Finset.sdiff_inter_self_rightproof · cited by 7
- Finset.sdiff_inter_self_leftproof · cited by 6
- mul_div_mul_right_eq_divproof · cited by 4
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