Theorems · Theorem · group theory
Set.prod_add_prod_comm
∀ {α : Type u_2} {β : Type u_3} [inst : Add α] [inst_1 : Add β] (s₁ s₂ : Set α) (t₁ t₂ : Set β),
s₁ ×ˢ t₁ + s₂ ×ˢ t₂ = (s₁ + s₂) ×ˢ (t₁ + t₂)- Cited by
- 1 results in Mathlib
- Foundations
- Depth 9 from the axioms · uses propext, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites6
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Setstatement and proof · cited by 53,352
- Set.extproof · cited by 2,266
- SProd.sprodstatement · cited by 1,750
- Set.addstatement · cited by 338
- Set.mem_prodproof · cited by 32
- Set.mem_addproof · cited by 25
Cited by1
Results whose statement or proof uses this declaration.
- Finset.product_add_product_commproof · cited by 0