Theorems · Theorem · combinatorics
Finset.support_vaddAntidiagonal_subset_vadd
∀ {G : Type u_1} {P : Type u_2} [inst : VAdd G P] {s : Set G} {t : Set P}
(hst : ∀ (a : P), (s.vaddAntidiagonal t a).Finite), {a | (Finset.VAddAntidiagonal a ⋯).Nonempty} ⊆ s +ᵥ t- Defined in
- Mathlib.Data.Finset.SMulAntidiagonal
- Cited by
- 3 results in Mathlib
- Foundations
- Depth 70 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.
Cites9
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
- Set.ofPredstatement · cited by 6,101
- HVAdd.hVAddstatement · cited by 1,820
- Set.Finitestatement and proof · cited by 1,814
- Finset.Nonemptystatement · cited by 1,001
- VAddstatement and proof · cited by 616
- Set.vaddstatement · cited by 72
- Finset.VAddAntidiagonalstatement · cited by 27
- Set.vaddAntidiagonalstatement and proof · cited by 18
Cited by3
Results whose statement or proof uses this declaration.
- HahnSeries.SummableFamily.isPWO_iUnion_support_prod_smulproof · cited by 1
- HahnModule.support_smul_subset_vadd_support'proof · cited by 1
- Finset.isPWO_support_vaddAntidiagonalproof · cited by 0