Theorems · Theorem · combinatorics
IsMulFreimanHom.mono
∀ {α : Type u_2} {β : Type u_3} [inst : CommMonoid α] [inst_1 : CancelCommMonoid β] {A : Set α} {B : Set β} {f : α → β}
{m n : ℕ}, m ≤ n → IsMulFreimanHom n A B f → IsMulFreimanHom m A B f- Cited by
- 1 results in Mathlib
- Foundations
- Depth 28 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- CommMonoidCancelCommMonoid
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites5
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
- CommMonoidstatement and proof · cited by 2,264
- IsMulFreimanHomstatement and proof · cited by 31
- CancelCommMonoidstatement and proof · cited by 23
- isMulFreimanHom_antitoneproof · cited by 1
Cited by1
Results whose statement or proof uses this declaration.
- IsMulFreimanIso.monoproof · cited by 0