Mathlib Map

Theorems · Theorem · combinatorics

IsAddFreimanHom.mono

∀ {α : Type u_2} {β : Type u_3} [inst : AddCommMonoid α] [inst_1 : AddCancelCommMonoid β] {A : Set α} {B : Set β}
  {f : α → β} {m n : ℕ}, m ≤ n → IsAddFreimanHom n A B f → IsAddFreimanHom m A B f
Defined in
Mathlib.Combinatorics.Additive.FreimanHom
Cited by
1 results in Mathlib
Foundations
Depth 27 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
AddCommMonoidAddCancelCommMonoid
Mathlib docsSourceLoogleLeanSearch

Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

IsAddFreimanIso.mono · cited by 0IsAddFreimanIso.monoSet · cited by 53352SetAddCommMonoid · cited by 12281AddCommMonoidAddCancelCommMonoid · cited by 48AddCancelCommMonoidIsAddFreimanHom · cited by 32IsAddFreimanHomisAddFreimanHom_antitone · cited by 1isAddFreimanHom_antitoneIsAddFreimanHom.monoCITED BYCITES

Cites5

Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.

Cited by1

Results whose statement or proof uses this declaration.