Theorems · Definition · combinatorics
Finset.VAddAntidiagonal
{G : Type u_1} →
{P : Type u_2} →
[inst : VAdd G P] → {s : Set G} → {t : Set P} → (a : P) → (s.vaddAntidiagonal t a).Finite → Finset (G × P)Finset.VAddAntidiagonal hs ht a is the set of all pairs of an element in s
and an element in t whose vector addition yields a, but its construction requires proofs that
s and t are well-ordered.
- Defined in
- Mathlib.Data.Finset.SMulAntidiagonal
- Cited by
- 27 results in Mathlib
- Foundations
- Depth 67 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- VAdd
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.
- Setstatement and proof · cited by 53,352
- Finsetstatement · cited by 13,712
- Set.Finitestatement and proof · cited by 1,814
- VAddstatement and proof · cited by 616
- Set.Finite.toFinsetproof · cited by 351
- Set.vaddAntidiagonalstatement and proof · cited by 18
Cited by28
Results whose statement or proof uses this declaration.
- Finset.mem_vaddAntidiagonalstatement · cited by 5
- HahnModule.coeff_smulstatement · cited by 5
- Finset.VAddAntidiagonal.congr_simpstatement and proof · cited by 4
- Finset.support_vaddAntidiagonal_subset_vaddstatement · cited by 3
- AddMonoidAlgebra.mem_vaddAntidiagonal_of_addGroupstatement · cited by 2
- AddMonoidAlgebra.smul_eqstatement · cited by 2
- HahnSeries.SummableFamily.smul_hsumproof · cited by 2
- HahnModule.coeff_single_smul_vaddproof · cited by 2
- HahnModule.coeff_smul_leftstatement and proof · cited by 2
- HahnModule.coeff_smul_rightstatement and proof · cited by 2
- HahnSeries.SummableFamily.coeff_smulstatement and proof · cited by 2
- HahnModule.zero_smul'proof · cited by 2