Theorems · Theorem · combinatorics
Multiset.Pi.cons_ne
∀ {α : Type u_1} [inst : DecidableEq α] {δ : α → Sort u_2} {m : Multiset α} {a a' : α} {b : δ a}
{f : (a : α) → a ∈ m → δ a} (h' : a' ∈ a ::ₘ m) (h : a' ≠ a), Multiset.Pi.cons m a b f a' h' = f a' ⋯- Defined in
- Mathlib.Data.Multiset.Pi
- Cited by
- 5 results in Mathlib
- Foundations
- Depth 18 from the axioms · uses propext, Quot.sound
- Assumes
- DecidableEq
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites4
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_consstatement · cited by 29
- Multiset.Pi.consstatement · cited by 14
Cited by5
Results whose statement or proof uses this declaration.
- Multiset.Pi.cons_injectiveproof · cited by 3
- Multiset.Pi.cons_etaproof · cited by 2
- Multiset.mem_piproof · cited by 2
- Finset.Pi.cons_neproof · cited by 1
- Multiset.Pi.cons_swapproof · cited by 0