Mathlib Map

Theorems · Theorem · combinatorics

Finset.HasMulAntidiagonal.map_swap_mulAntidiagonal

∀ {A : Type u_1} [inst : CommMonoid A] [inst_1 : Finset.HasMulAntidiagonal A] {n : A},
  Finset.map { toFun := Prod.swap, inj' := ⋯ } (Finset.HasMulAntidiagonal.mulAntidiagonal n) =
    Finset.HasMulAntidiagonal.mulAntidiagonal n

See also Finset.map_prodComm_mulAntidiagonal.

Defined in
Mathlib.Algebra.Order.Antidiag.Prod
Cited by
0 results in Mathlib
Foundations
Depth 59 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
CommMonoidFinset.HasMulAntidiagonal
Mathlib docsSourceLoogleLeanSearch

Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

Finset · cited by 13712FinsetCommMonoid · cited by 2264CommMonoidFinset.map · cited by 747Finset.mapFinset.HasMulAntidiagonal.mulAntidiagonal · cited by 17HasMulAntidiagonal.mulAnt…Finset.HasMulAntidiagonal · cited by 16Finset.HasMulAntidiagonalProd.swap_injective · cited by 12Prod.swap_injectiveFinset.HasMulAntidiagonal.map_prodComm_mulAntidiagonal · cited by 1HasMulAntidiagonal.map_pr…HasMulAntidiagonal.map_swap_m…CITED BYCITES

Cites7

Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.

Cited by0

Results whose statement or proof uses this declaration.

Nothing cites this yet.