Theorems · Theorem · combinatorics
Multiset.cons_swap
∀ {α : Type u_1} (a b : α) (s : Multiset α), a ::ₘ b ::ₘ s = b ::ₘ a ::ₘ s- Defined in
- Mathlib.Data.Multiset.ZeroCons
- Cited by
- 8 results in Mathlib
- Foundations
- Depth 12 from the axioms · uses Quot.sound
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.
- Multisetstatement and proof · cited by 2,627
- Multiset.consstatement · cited by 313
Cited by8
Results whose statement or proof uses this declaration.
- Multiset.rel_cons_leftproof · cited by 3
- Multiset.cons_eq_consproof · cited by 2
- Multiset.powerset_aux'_permproof · cited by 1
- Multiset.pair_commproof · cited by 1
- Multiset.powersetCardAux_permproof · cited by 0
- Sym.cons_swapproof · cited by 0
- Multiset.Pi.cons_swapproof · cited by 0
- Finset.cons_swapproof · cited by 0