Theorems · Theorem · combinatorics
Multiset.mem_cons_of_mem
∀ {α : Type u_1} {a b : α} {s : Multiset α}, a ∈ s → a ∈ b ::ₘ s- Defined in
- Mathlib.Data.Multiset.ZeroCons
- Cited by
- 35 results in Mathlib
- Foundations
- Depth 16 from the axioms · uses propext, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites3
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.consstatement · cited by 313
- Multiset.mem_consproof · cited by 29
Cited by35
Results whose statement or proof uses this declaration.
- Finset.mem_cons_of_memproof · cited by 16
- Polynomial.monic_multiset_prod_of_monicproof · cited by 6
- Multiset.rel_refl_of_refl_onproof · cited by 5
- Finset.noncommProd_consproof · cited by 4
- Polynomial.Monic.nextCoeff_multiset_prodproof · cited by 3
- Finset.noncommSum_consproof · cited by 3
- Multiset.Pi.cons_injectiveproof · cited by 3
- Multiset.subset_consproof · cited by 2
- Sym.mem_cons_of_memproof · cited by 2
- Prime.exists_mem_multiset_dvdproof · cited by 2
- UniqueFactorizationMonoid.card_factors_of_irreducibleproof · cited by 2
- Multiset.gcd_eq_zero_iffproof · cited by 2