Theorems · Theorem · combinatorics
Multiset.pi_coe
∀ {ι : Type u_1} [inst : DecidableEq ι] {α : ι → Type u_2} (l : List ι) (fs : (i : ι) → List (α i)),
((↑l).pi fun x => ↑(fs x)) = ↑(l.pi fs)- Defined in
- Mathlib.Data.List.Pi
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 62 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- DecidableEq
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites9
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Multisetstatement · cited by 2,627
- Multiset.ofListstatement and proof · cited by 290
- Multiset.map_congrproof · cited by 232
- Multiset.bind_congrproof · cited by 15
- List.Pi.consproof · cited by 9
- Multiset.pistatement and proof · cited by 9
- Multiset.pi_consproof · cited by 5
- Multiset.coe_bindproof · cited by 5
- List.pistatement and proof · cited by 5
Cited by1
Results whose statement or proof uses this declaration.
- List.mem_piproof · cited by 1