Theorems · Theorem · combinatorics
IsAddFreimanHom.prodMk
∀ {α : Type u_5} {β₁ : Type u_6} {β₂ : Type u_7} [inst : AddCommMonoid α] [inst_1 : AddCommMonoid β₁]
[inst_2 : AddCommMonoid β₂] {A : Set α} {B₁ : Set β₁} {B₂ : Set β₂} {f₁ : α → β₁} {f₂ : α → β₂} {n : ℕ},
IsAddFreimanHom n A B₁ f₁ → IsAddFreimanHom n A B₂ f₂ → IsAddFreimanHom n A (B₁ ×ˢ B₂) fun x => (f₁ x, f₂ x)- Cited by
- 1 results in Mathlib
- Foundations
- Depth 16 from the axioms · uses propext, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites15
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
- AddCommMonoidstatement and proof · cited by 12,281
- Multisetproof · cited by 2,627
- SProd.sprodstatement · cited by 1,750
- Multiset.mapproof · cited by 876
- Multiset.sumproof · cited by 388
- Multiset.cardproof · cited by 375
- Multiset.map_congrproof · cited by 232
- Multiset.map_mapproof · cited by 151
- IsAddFreimanHomstatement and proof · cited by 32
- Set.mk_mem_prodproof · cited by 31
- IsAddFreimanHom.mapsToproof · cited by 11
Cited by1
Results whose statement or proof uses this declaration.
- IsAddFreimanHom.prodMapproof · cited by 1