Theorems · Theorem · combinatorics
Multiset.mem_powersetCard
∀ {α : Type u_1} {n : ℕ} {s t : Multiset α}, s ∈ Multiset.powersetCard n t ↔ s ≤ t ∧ s.card = n- Defined in
- Mathlib.Data.Multiset.Powerset
- Cited by
- 7 results in Mathlib
- Foundations
- Depth 41 from the axioms · uses propext, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites4
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Multisetstatement and proof · cited by 2,627
- Multiset.cardstatement and proof · cited by 375
- Multiset.ofListproof · cited by 290
- Multiset.powersetCardstatement · cited by 29
Cited by7
Results whose statement or proof uses this declaration.
- Multiset.prod_X_add_C_eq_sum_esymmproof · cited by 3
- Polynomial.norm_coeff_le_choose_mul_mahlerMeasureproof · cited by 3
- Multiset.esymm_negproof · cited by 2
- Polynomial.coeff_le_of_roots_leproof · cited by 1
- Multiset.pairwise_disjoint_powersetCardproof · cited by 1
- IsNonarchimedean.multiset_powerset_image_addproof · cited by 1
- Multiset.pow_smul_esymmproof · cited by 0