Theorems · Definition · order theory
Set.antidiagonal
{α : Type u_1} → [Add α] → Set α → Set α → α → Set (α × α)Set.addAntidiagonal s t a is the set of all pairs of an element in s and an
element in t that add to a.
- Defined in
- Mathlib.Data.Set.MulAntidiagonal
- Cited by
- 11 results in Mathlib
- Foundations
- Depth 4 from the axioms · uses no axioms
- Assumes
- Add
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites2
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.ofPredproof · cited by 6,101
Cited by12
Results whose statement or proof uses this declaration.
- DiscreteConvolution.addFiberproof · cited by 11
- Set.mem_antidiagonalstatement · cited by 8
- Set.AddAntidiagonal.fst_eq_fst_iff_snd_eq_sndstatement and proof · cited by 2
- Set.antidiagonal_mono_leftstatement and proof · cited by 1
- Set.antidiagonal_mono_rightstatement and proof · cited by 1
- Set.swap_mem_antidiagonal_auxstatement · cited by 1
- Set.AddAntidiagonal.eq_of_fst_eq_fststatement and proof · cited by 1
- Set.AddAntidiagonal.eq_of_fst_le_fst_of_snd_le_sndstatement and proof · cited by 1
- Set.AddAntidiagonal.finite_of_isPWOstatement and proof · cited by 1
- Set.swap_mem_antidiagonalstatement · cited by 0
- Set.AddAntidiagonal.eq_of_snd_eq_sndstatement and proof · cited by 0
- Set.AddAntidiagonal.finite_of_isWFstatement · cited by 0