Theorems · Theorem · combinatorics
isCornerFree_image
∀ {G : Type u_1} {H : Type u_2} [inst : AddCommMonoid G] [inst_1 : AddCommMonoid H] {A : Set (G × G)} {s : Set G}
{t : Set H} {f : G → H}, IsAddFreimanIso 2 s t f → A ⊆ s ×ˢ s → (IsCornerFree (Prod.map f f '' A) ↔ IsCornerFree A)- Cited by
- 1 results in Mathlib
- Foundations
- Depth 20 from the axioms · uses propext, Quot.sound
- Assumes
- AddCommMonoidAddCommMonoid
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites18
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
- Set.imagestatement and proof · cited by 5,609
- SProd.sprodstatement and proof · cited by 1,750
- Set.Subset.rflproof · cited by 255
- Set.MapsTo.image_subsetproof · cited by 49
- Set.BijOn.injOnproof · cited by 42
- Set.BijOn.mapsToproof · cited by 42
- IsAddFreimanIsostatement and proof · cited by 30
- Set.InjOn.eq_iffproof · cited by 25
- IsCornerproof · cited by 16
- Set.MapsTo.monoproof · cited by 16
Cited by1
Results whose statement or proof uses this declaration.
- IsCornerFree.imageproof · cited by 0