Theorems · Theorem · combinatorics
Finset.HasMulAntidiagonal.map_prodComm_mulAntidiagonal
∀ {A : Type u_1} [inst : CommMonoid A] [inst_1 : Finset.HasMulAntidiagonal A] {n : A},
Finset.map (Equiv.prodComm A A).toEmbedding (Finset.HasMulAntidiagonal.mulAntidiagonal n) =
Finset.HasMulAntidiagonal.mulAntidiagonal n- Defined in
- Mathlib.Algebra.Order.Antidiag.Prod
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 58 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites9
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.mapstatement and proof · cited by 747
- Finset.extproof · cited by 565
- Equiv.toEmbeddingstatement and proof · cited by 254
- Equiv.prodCommstatement and proof · cited by 55
- Finset.HasMulAntidiagonal.mulAntidiagonalstatement and proof · cited by 17
- Finset.HasMulAntidiagonalstatement and proof · cited by 16
Cited by1
Results whose statement or proof uses this declaration.
- Finset.HasMulAntidiagonal.map_swap_mulAntidiagonalproof · cited by 0