Theorems · Theorem · number theory
Finset.prod_div_prod_mem_mulSpan
∀ {α : Type u_1} [inst : CommGroup α] [inst_1 : DecidableEq α] [inst_2 : Fintype α] {s t u : Finset α},
t ⊆ s → u ⊆ s → (∏ a ∈ t, a) / ∏ a ∈ u, a ∈ s.mulSpan- Cited by
- 1 results in Mathlib
- Foundations
- Depth 77 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- CommGroupDecidableEqFintype
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites22
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
- SetLike.coeproof · cited by 8,199
- Fintypestatement and proof · cited by 7,736
- Finset.prodstatement and proof · cited by 2,356
- pow_zeroproof · cited by 1,094
- sub_selfproof · cited by 996
- CommGroupstatement and proof · cited by 990
- sub_zeroproof · cited by 938
- pow_oneproof · cited by 894
- Set.indicatorproof · cited by 723
- Finset.prod_congrproof · cited by 646
- zero_subproof · cited by 335
Cited by1
Results whose statement or proof uses this declaration.
- Finset.exists_subset_mulSpan_card_le_of_forall_mulDissociatedproof · cited by 0