Theorems · Theorem · combinatorics
Multiset.Pi.cons_swap
∀ {α : Type u_1} [inst : DecidableEq α] {δ : α → Sort u_2} {a a' : α} {b : δ a} {b' : δ a'} {m : Multiset α}
{f : (a : α) → a ∈ m → δ a},
a ≠ a' →
Multiset.Pi.cons (a' ::ₘ m) a b (Multiset.Pi.cons m a' b' f) ≍
Multiset.Pi.cons (a ::ₘ m) a' b' (Multiset.Pi.cons m a b f)- Defined in
- Mathlib.Data.Multiset.Pi
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 19 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- DecidableEq
Around this declaration
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Cites10
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_consproof · cited by 29
- Decidable.eq_or_neproof · cited by 28
- Multiset.Pi.consstatement and proof · cited by 14
- Function.hfunextproof · cited by 9
- Multiset.cons_swapproof · cited by 8
- Multiset.Pi.cons_neproof · cited by 5
- Multiset.Pi.cons_sameproof · cited by 5
- Decidable.ne_or_eqproof · cited by 1
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