Theorems · Theorem · logic and foundations
Part.map_some
∀ {α : Type u_1} {β : Type u_2} (f : α → β) (a : α), Part.map f (Part.some a) = Part.some (f a)- Defined in
- Mathlib.Data.Part
- Cited by
- 27 results in Mathlib
- Foundations
- Depth 7 from the axioms · uses propext, Quot.sound
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.
- Partstatement · cited by 325
- Part.somestatement · cited by 111
- Part.mapstatement · cited by 65
- Part.eq_some_iffproof · cited by 17
- Part.mem_someproof · cited by 4
- Part.mem_mapproof · cited by 2
Cited by27
Results whose statement or proof uses this declaration.
- Primrec.to_compproof · cited by 40
- Partrec.compproof · cited by 12
- Partrec.bindproof · cited by 10
- Computable.ofOptionproof · cited by 7
- Nat.Partrec.of_primrecproof · cited by 6
- Nat.Partrec.Code.eval_curryproof · cited by 5
- Nat.Partrec.Code.exists_codeproof · cited by 5
- Computable.pairproof · cited by 5
- Nat.Partrec.ppredproof · cited by 4
- Partrec.nat_recproof · cited by 3
- Partrec.sumCasesOn_rightproof · cited by 3
- Nat.Partrec.noneproof · cited by 2