Theorems · Theorem · combinatorics
Multiset.Pi.cons_eta
∀ {α : Type u_1} [inst : DecidableEq α] {δ : α → Sort u_2} {m : Multiset α} {a : α}
(f : (a' : α) → a' ∈ a ::ₘ m → δ a'), (Multiset.Pi.cons m a (f a ⋯) fun a' ha' => f a' ⋯) = f- Defined in
- Mathlib.Data.Multiset.Pi
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 19 from the axioms · uses propext, Quot.sound
- Assumes
- DecidableEq
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites8
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 and proof · cited by 313
- Multiset.mem_cons_selfstatement and proof · cited by 44
- Multiset.mem_cons_of_memstatement and proof · cited by 35
- Multiset.mem_consproof · cited by 29
- Multiset.Pi.consstatement · cited by 14
- Multiset.Pi.cons_neproof · cited by 5
- Multiset.Pi.cons_sameproof · cited by 5
Cited by2
Results whose statement or proof uses this declaration.
- Multiset.mem_piproof · cited by 2
- List.Pi.cons_etaproof · cited by 0