Theorems · Theorem · combinatorics
Set.VAddAntidiagonal.fst_eq_fst_iff_snd_eq_snd
∀ {G : Type u_1} {P : Type u_2} {s : Set G} {t : Set P} {a : P} [inst : VAdd G P] {x y : ↑(s.vaddAntidiagonal t a)}
[IsCancelVAdd G P], (↑x).1 = (↑y).1 ↔ (↑x).2 = (↑y).2- Defined in
- Mathlib.Data.Set.SMulAntidiagonal
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 6 from the axioms · uses no axioms
- Assumes
- VAddIsCancelVAdd
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites8
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
- Set.Elemstatement and proof · cited by 7,166
- HVAdd.hVAddproof · cited by 1,820
- VAddstatement and proof · cited by 616
- Set.vaddAntidiagonalstatement and proof · cited by 18
- IsCancelVAddstatement and proof · cited by 13
- IsCancelVAdd.left_cancelproof · cited by 3
- IsCancelVAdd.right_cancelproof · cited by 3
Cited by1
Results whose statement or proof uses this declaration.
- Set.VAddAntidiagonal.eq_of_snd_eq_sndproof · cited by 0