Theorems · Theorem · combinatorics
Finset.HasMulAntidiagonal.swap_mem_mulAntidiagonal
∀ {A : Type u_1} [inst : CommMonoid A] [inst_1 : Finset.HasMulAntidiagonal A] {n : A} {xy : A × A},
xy.swap ∈ Finset.HasMulAntidiagonal.mulAntidiagonal n ↔ xy ∈ Finset.HasMulAntidiagonal.mulAntidiagonal n- Defined in
- Mathlib.Algebra.Order.Antidiag.Prod
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 56 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites5
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Finsetstatement · cited by 13,712
- CommMonoidstatement and proof · cited by 2,264
- mul_commproof · cited by 2,262
- Finset.HasMulAntidiagonal.mulAntidiagonalstatement · cited by 17
- Finset.HasMulAntidiagonalstatement and proof · cited by 16
Cited by1
Results whose statement or proof uses this declaration.
- Finset.HasMulAntidiagonal.mulAntidiagonal_congr'proof · cited by 0