Theorems · Theorem · combinatorics
Finset.HasAntidiagonal.nonempty_antidiagonal
∀ {M : Type u_2} [inst : AddMonoid M] [inst_1 : Finset.HasAntidiagonal M] (a : M),
(Finset.HasAntidiagonal.antidiagonal a).Nonempty- Defined in
- Mathlib.Algebra.Order.Antidiag.Prod
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 55 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites6
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- AddMonoidstatement and proof · cited by 2,864
- zero_addproof · cited by 2,366
- Finset.Nonemptystatement · cited by 1,001
- Finset.HasAntidiagonal.antidiagonalstatement · cited by 218
- Finset.HasAntidiagonal.mem_antidiagonalproof · cited by 51
- Finset.HasAntidiagonalstatement and proof · cited by 48
Cited by2
Results whose statement or proof uses this declaration.
- MvPowerSeries.tendsto_antidiagonalproof · cited by 1
- Finset.HasAntidiagonal.tendsto_sup'_antidiagonal_cofinitestatement and proof · cited by 1