Theorems · Theorem · combinatorics
Multiset.mem_cons_self
∀ {α : Type u_1} (a : α) (s : Multiset α), a ∈ a ::ₘ s- Defined in
- Mathlib.Data.Multiset.ZeroCons
- Cited by
- 44 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 by44
Results whose statement or proof uses this declaration.
- Finset.mem_cons_selfproof · cited by 16
- Polynomial.monic_multiset_prod_of_monicproof · cited by 6
- Multiset.rel_refl_of_refl_onproof · cited by 5
- Multiset.mem_singleton_selfproof · cited by 4
- Sym.mem_cons_selfproof · cited by 4
- Multiset.dvd_sumproof · cited by 4
- Multiset.le_cons_of_notMemproof · cited by 4
- Multiset.exists_mem_of_rel_of_memproof · cited by 4
- Polynomial.Monic.nextCoeff_multiset_prodproof · cited by 3
- Multiset.mem_interproof · cited by 3
- Multiset.cons_eq_consproof · cited by 2
- Prime.exists_mem_multiset_dvdproof · cited by 2