Theorems · Theorem · combinatorics
Finset.piAntidiag_empty_of_ne_zero
∀ {ι : Type u_1} {μ : Type u_2} [inst : DecidableEq ι] [inst_1 : AddCommMonoid μ] [inst_2 : Finset.HasAntidiagonal μ]
[inst_3 : DecidableEq μ] {n : μ}, n ≠ 0 → ∅.piAntidiag n = ∅- Defined in
- Mathlib.Algebra.Order.Antidiag.Pi
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 90 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites5
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
- Finset.HasAntidiagonalstatement and proof · cited by 48
- Finset.piAntidiagstatement · cited by 19
- Finset.eq_empty_of_forall_notMemproof · cited by 6
Cited by2
Results whose statement or proof uses this declaration.
- Finset.sum_pow_eq_sum_piAntidiag_of_commuteproof · cited by 1
- Finset.piAntidiag_emptyproof · cited by 0