Theorems · Theorem · combinatorics
Set.mem_vaddAntidiagonal
∀ {G : Type u_1} {P : Type u_2} [inst : VAdd G P] {s : Set G} {t : Set P} {a : P} {x : G × P},
x ∈ s.vaddAntidiagonal t a ↔ x.1 ∈ s ∧ x.2 ∈ t ∧ x.1 +ᵥ x.2 = a- Defined in
- Mathlib.Data.Set.SMulAntidiagonal
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 5 from the axioms · uses no axioms
- Assumes
- VAdd
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites4
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
- HVAdd.hVAddstatement · cited by 1,820
- VAddstatement and proof · cited by 616
- Set.vaddAntidiagonalstatement · cited by 18
Cited by2
Results whose statement or proof uses this declaration.
- Set.VAddAntidiagonal.finite_of_isPWOproof · cited by 16
- Set.VAddAntidiagonal.eq_of_fst_le_fst_of_snd_le_sndproof · cited by 1