Theorems · Definition
Nonempty.some
{α : Sort u_3} → Nonempty α → αUsing Classical.choice, extracts a term from a Nonempty type.
- Defined in
- Mathlib.Logic.Nonempty
- Cited by
- 340 results in Mathlib
- Foundations
- Depth 2 from the axioms, rests on 2 definitions · uses Classical.choice
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Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
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Cited by487
Results whose statement or proof uses this declaration.
- Fintype.ofFiniteproof · cited by 255
- Module.Free.chooseBasisproof · cited by 121
- CategoryTheory.Limits.isColimitOfPreservesproof · cited by 118
- equivShrinkproof · cited by 118
- LinearMap.traceproof · cited by 87
- CategoryTheory.ShortComplex.leftHomologyDataproof · cited by 83
- CategoryTheory.Limits.isLimitOfPreservesproof · cited by 76
- NumberField.Units.dirichletUnitTheorem.w₀proof · cited by 72
- CategoryTheory.ShortComplex.rightHomologyDataproof · cited by 64
- AlgebraicGeometry.Scheme.affineCoverproof · cited by 61
- CategoryTheory.IsPullback.isLimitproof · cited by 47
- Set.Finite.fintypeproof · cited by 38
Showing the 200 most cited of 487.