Theorems · Theorem · group theory
Finset.union_mul_inter_subset_union
∀ {α : Type u_2} [inst : DecidableEq α] [inst_1 : Mul α] {s₁ s₂ t₁ t₂ : Finset α},
(s₁ ∪ s₂) * (t₁ ∩ t₂) ⊆ s₁ * t₁ ∪ s₂ * t₂- Cited by
- 2 results in Mathlib
- Foundations
- Depth 79 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- DecidableEqMul
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites3
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.mulstatement · cited by 155
- Finset.image₂_union_inter_subset_unionproof · cited by 6
Cited by2
Results whose statement or proof uses this declaration.
- Finset.mulETransformRight.fst_mul_snd_subsetproof · cited by 1
- Finset.mulDysonETransform.subsetproof · cited by 0