Theorems · Definition · logic and foundations
Part.some
{α : Type u_1} → α → Part αThe some a value in Part has a True domain and the
function returns a.
- Defined in
- Mathlib.Data.Part
- Cited by
- 111 results in Mathlib
- Foundations
- Depth 2 from the axioms, rests on 3 definitions · uses no axioms
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites1
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Partstatement · cited by 325
Cited by125
Results whose statement or proof uses this declaration.
- Part.bind_somestatement · cited by 49
- Primrec.to_compproof · cited by 40
- PFun.liftproof · cited by 36
- Part.ofOptionproof · cited by 33
- Part.map_somestatement · cited by 27
- Part.eq_some_iffstatement and proof · cited by 17
- StateTransition.evalproof · cited by 16
- PFun.fixproof · cited by 16
- Partrec.compproof · cited by 12
- ComputableInproof · cited by 11
- Partrec.bindproof · cited by 10
- StateTransition.mem_evalproof · cited by 8