Theorems · Theorem · combinatorics
Multiset.mem_pmap
∀ {α : Type u_1} {β : Type v} {p : α → Prop} {f : (a : α) → p a → β} {s : Multiset α} {H : ∀ a ∈ s, p a} {b : β},
b ∈ Multiset.pmap f s H ↔ ∃ a, ∃ (h : a ∈ s), f a ⋯ = b- Defined in
- Mathlib.Data.Multiset.Defs
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 19 from the axioms · uses propext, 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.pmapstatement · cited by 16
Cited by2
Results whose statement or proof uses this declaration.
- Associates.mem_factors'_of_dvdproof · cited by 2
- Finset.mem_attachFinproof · cited by 1