Theorems · Definition · combinatorics
Finset.HasMulAntidiagonal.mulAntidiagonal
{A : Type u_1} → {inst : Monoid A} → [self : Finset.HasMulAntidiagonal A] → A → Finset (A × A)The mulAntidiagonal of an element n is the finset of pairs (i, j) such that
i * j = n.
- Defined in
- Mathlib.Algebra.Order.Antidiag.Prod
- Cited by
- 17 results in Mathlib
- Foundations
- Depth 2 from the axioms · uses no axioms
- Assumes
- Finset.HasMulAntidiagonal
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites3
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Finsetstatement · cited by 13,712
- Monoidstatement and proof · cited by 3,887
- Finset.HasMulAntidiagonalstatement and proof · cited by 16
Cited by18
Results whose statement or proof uses this declaration.
- Finset.HasMulAntidiagonal.sigmaMulAntidiagonalEquivProdstatement and proof · cited by 3
- Finset.HasMulAntidiagonal.mem_mulAntidiagonalstatement · cited by 3
- Finset.HasMulAntidiagonal.mulAntidiagonal_congrstatement and proof · cited by 2
- Finset.HasMulAntidiagonal.swap_mem_mulAntidiagonalstatement · cited by 1
- Finset.HasMulAntidiagonal.map_prodComm_mulAntidiagonalstatement and proof · cited by 1
- Finset.HasMulAntidiagonal.mulAntidiagonal_subtype_extstatement and proof · cited by 1
- Finset.HasMulAntidiagonal.nonempty_antidiagonalstatement · cited by 0
- Finset.HasMulAntidiagonal.sigmaMulAntidiagonalEquivProd_applystatement and proof · cited by 0
- Finset.HasMulAntidiagonal.sigmaMulAntidiagonalEquivProd_symm_apply_fststatement · cited by 0
- Finset.HasMulAntidiagonal.sigmaMulAntidiagonalEquivProd_symm_apply_snd_coestatement · cited by 0
- Finset.HasMulAntidiagonal.mulAntidiagonal.fst_lestatement and proof · cited by 0
- Finset.HasMulAntidiagonal.mulAntidiagonal.snd_lestatement and proof · cited by 0