Theorems · Theorem · order theory
Finset.antidiagonal_mono_right
∀ {α : Type u_1} [inst : AddCommMonoid α] [inst_1 : PartialOrder α] [inst_2 : IsOrderedCancelAddMonoid α] {s t : Set α}
{hs : s.IsPWO} {ht : t.IsPWO} {a : α} {u : Set α} {hu : u.IsPWO},
u ⊆ t → Finset.antidiagonal hs hu a ⊆ Finset.antidiagonal hs ht a- Defined in
- Mathlib.Data.Finset.MulAntidiagonal
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 90 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites9
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
- Finsetstatement · cited by 13,712
- AddCommMonoidstatement and proof · cited by 12,281
- PartialOrderstatement and proof · cited by 6,410
- IsOrderedCancelAddMonoidstatement and proof · cited by 359
- Set.IsPWOstatement and proof · cited by 99
- Finset.antidiagonalstatement · cited by 23
- Set.Finite.toFinset_monoproof · cited by 10
- Set.antidiagonal_mono_rightproof · cited by 1
Cited by1
Results whose statement or proof uses this declaration.
- Finset.addAntidiagonal_mono_rightproof · cited by 0