Theorems · Theorem · combinatorics
Finset.HasAntidiagonal.map_prodComm_antidiagonal
∀ {A : Type u_1} [inst : AddCommMonoid A] [inst_1 : Finset.HasAntidiagonal A] {n : A},
Finset.map (Equiv.prodComm A A).toEmbedding (Finset.HasAntidiagonal.antidiagonal n) =
Finset.HasAntidiagonal.antidiagonal n- Defined in
- Mathlib.Algebra.Order.Antidiag.Prod
- Cited by
- 3 results in Mathlib
- Foundations
- Depth 57 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites11
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Finsetstatement · cited by 13,712
- AddCommMonoidstatement and proof · cited by 12,281
- add_commproof · cited by 1,535
- Finset.mapstatement and proof · cited by 747
- Finset.extproof · cited by 565
- Equiv.toEmbeddingstatement and proof · cited by 254
- Finset.HasAntidiagonal.antidiagonalstatement and proof · cited by 218
- Equiv.prodCommstatement and proof · cited by 55
- Finset.HasAntidiagonal.mem_antidiagonalproof · cited by 51
- Finset.HasAntidiagonalstatement and proof · cited by 48
- Finset.mem_map_equivproof · cited by 3
Cited by3
Results whose statement or proof uses this declaration.
- Finset.HasAntidiagonal.map_swap_antidiagonalproof · cited by 4
- Finset.Nat.antidiagonal_filter_fst_le_of_leproof · cited by 0
- Finset.Nat.antidiagonal_filter_le_snd_of_leproof · cited by 0