Theorems · Definition · logic and foundations
Encodable.equivRangeEncode
(α : Type u_3) → [inst : Encodable α] → α ≃ ↑(Set.range Encodable.encode)
An encodable type is equivalent to the range of its encoding function.
- Defined in
- Mathlib.Logic.Encodable.Basic
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 19 from the axioms · uses propext, Quot.sound
- Assumes
- Encodable
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites6
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Equivstatement · cited by 8,337
- Set.Elemstatement and proof · cited by 7,166
- Set.rangestatement and proof · cited by 4,705
- Encodablestatement and proof · cited by 140
- Encodable.encodestatement and proof · cited by 118
- Encodable.decode₂proof · cited by 26
Cited by2
Results whose statement or proof uses this declaration.
- ULower.equivproof · cited by 5
- Denumerable.ofEncodableOfInfiniteproof · cited by 3