Theorems · Theorem · order theory
Set.mem_antidiagonal
∀ {α : Type u_1} [inst : Add α] {s t : Set α} {a : α} {x : α × α},
x ∈ s.antidiagonal t a ↔ x.1 ∈ s ∧ x.2 ∈ t ∧ x.1 + x.2 = a- Defined in
- Mathlib.Data.Set.MulAntidiagonal
- Cited by
- 8 results in Mathlib
- Foundations
- Depth 5 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.antidiagonalstatement · cited by 11
Cited by8
Results whose statement or proof uses this declaration.
- Finset.mem_antidiagonalproof · cited by 5
- Finset.swap_mem_antidiagonalproof · cited by 1
- Set.swap_mem_antidiagonal_auxproof · cited by 1
- Set.AddAntidiagonal.eq_of_fst_le_fst_of_snd_le_sndproof · cited by 1
- Set.AddAntidiagonal.finite_of_isPWOproof · cited by 1
- DiscreteConvolution.mem_addFiberproof · cited by 0
- Set.swap_mem_antidiagonalproof · cited by 0
- DiscreteConvolution.addFiber_zero_memproof · cited by 0