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Theorems · Theorem · combinatorics

Finset.HasAntidiagonal.swap_mem_antidiagonal

∀ {A : Type u_1} [inst : AddCommMonoid A] [inst_1 : Finset.HasAntidiagonal A] {n : A} {xy : A × A},
  xy.swap ∈ Finset.HasAntidiagonal.antidiagonal n ↔ xy ∈ Finset.HasAntidiagonal.antidiagonal n
Defined in
Mathlib.Algebra.Order.Antidiag.Prod
Cited by
1 results in Mathlib
Foundations
Depth 55 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
AddCommMonoidFinset.HasAntidiagonal
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Around this declaration

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Finset.HasAntidiagonal.antidiagonal_congr' · cited by 1HasAntidiagonal.antidiago…Finset · cited by 13712FinsetAddCommMonoid · cited by 12281AddCommMonoidadd_comm · cited by 1535add_commFinset.HasAntidiagonal.antidiagonal · cited by 218HasAntidiagonal.antidiago…Finset.HasAntidiagonal.mem_antidiagonal · cited by 51HasAntidiagonal.mem_antid…Finset.HasAntidiagonal · cited by 48Finset.HasAntidiagonalHasAntidiagonal.swap_mem_anti…CITED BYCITES

Cites6

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Cited by1

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