Theorems · Definition · logic and foundations
Encodable.chooseX
{α : Type u_1} → {p : α → Prop} → [Encodable α] → [DecidablePred p] → (∃ x, p x) → { a // p a }Constructive choice function for a decidable subtype of an encodable type.
- Defined in
- Mathlib.Logic.Encodable.Basic
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 20 from the axioms · uses propext
- Assumes
- EncodableDecidablePred
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites3
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Encodablestatement and proof · cited by 140
- Nat.findproof · cited by 139
- Encodable.decodeproof · cited by 77
Cited by2
Results whose statement or proof uses this declaration.
- Encodable.chooseproof · cited by 2
- Encodable.choose_specproof · cited by 2