Theorems · Theorem · combinatorics
Finset.HasAntidiagonal.antidiagonal_zero
∀ {A : Type u_1} [inst : AddCommMonoid A] [inst_1 : PartialOrder A] [CanonicallyOrderedAdd A]
[inst_3 : Finset.HasAntidiagonal A], Finset.HasAntidiagonal.antidiagonal 0 = {(0, 0)}- Defined in
- Mathlib.Algebra.Order.Antidiag.Prod
- Cited by
- 8 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.
Cites10
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
- PartialOrderstatement and proof · cited by 6,410
- Finset.extproof · cited by 565
- CanonicallyOrderedAddstatement and proof · cited by 229
- Finset.HasAntidiagonal.antidiagonalstatement · cited by 218
- Finset.mem_singletonproof · cited by 103
- Finset.HasAntidiagonal.mem_antidiagonalproof · cited by 51
- Finset.HasAntidiagonalstatement and proof · cited by 48
- add_eq_zeroproof · cited by 19
Cited by8
Results whose statement or proof uses this declaration.
- Polynomial.mul_coeff_zeroproof · cited by 37
- LieModule.toEnd_pow_lieproof · cited by 1
- Ring.descPochhammer_smeval_addproof · cited by 1
- bernoulliPowerSeries_mul_exp_sub_oneproof · cited by 1
- LieDerivation.iterate_apply_lieproof · cited by 1
- bernoulli_spec'proof · cited by 1
- Finset.sum_antidiagonal_choose_addproof · cited by 1
- MvPolynomial.sum_antidiagonal_card_esymm_psum_eq_zeroproof · cited by 0