Theorems · Theorem · logic and foundations
Part.ne_none_iff
∀ {α : Type u_1} {o : Part α}, o ≠ Part.none ↔ ∃ x, o = Part.some x- Defined in
- Mathlib.Data.Part
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 13 from the axioms · uses propext, Classical.choice, Quot.sound
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.
- Partstatement and proof · cited by 325
- Part.Domproof · cited by 145
- Part.somestatement and proof · cited by 111
- Part.getproof · cited by 77
- Part.nonestatement and proof · cited by 36
- Part.eq_some_iffproof · cited by 17
- Part.get_memproof · cited by 6
- Part.eq_none_iff'proof · cited by 2
- Part.some_ne_noneproof · cited by 2
Cited by1
Results whose statement or proof uses this declaration.
- Part.eq_none_or_eq_someproof · cited by 1