Theorems · Definition · combinatorics
Set.smulAntidiagonal
{G : Type u_1} → {P : Type u_2} → [SMul G P] → Set G → Set P → P → Set (G × P)smulAntidiagonal s t a is the set of all pairs of an element in s and an element in t
that scalar multiply to a.
- Defined in
- Mathlib.Data.Set.SMulAntidiagonal
- Cited by
- 17 results in Mathlib
- Foundations
- Depth 4 from the axioms · uses no axioms
- Assumes
- SMul
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites2
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.ofPredproof · cited by 6,101
Cited by18
Results whose statement or proof uses this declaration.
- Finset.SMulAntidiagonalstatement and proof · cited by 10
- Set.SMulAntidiagonal.finite_of_finite_fststatement and proof · cited by 4
- Set.mem_smulAntidiagonalstatement · cited by 2
- Set.SMulAntidiagonal.finite_of_isPWOstatement and proof · cited by 2
- Finset.support_smulAntidiagonal_subset_smulstatement and proof · cited by 1
- Set.smulAntidiagonal_mono_leftstatement and proof · cited by 1
- Set.smulAntidiagonal_mono_rightstatement and proof · cited by 1
- Finset.mem_smulAntidiagonalstatement and proof · cited by 1
- Set.SMulAntidiagonal.eq_of_fst_eq_fststatement and proof · cited by 1
- Set.SMulAntidiagonal.eq_of_fst_le_fst_of_snd_le_sndstatement and proof · cited by 1
- MonoidAlgebra.smul_eqstatement and proof · cited by 1
- Set.SMulAntidiagonal.fst_eq_fst_iff_snd_eq_sndstatement and proof · cited by 1