Mathlib Map

Theorems · Definition · group theory

WithZero.unzeroD

{α : Type u} → α → WithZero α → α

Specialization of Option.getD to values in WithZero α that respects API boundaries.

Defined in
Mathlib.Algebra.Group.WithOne.Defs
Cited by
14 results in Mathlib
Foundations
Depth 6 from the axioms · uses no axioms
Mathlib docsSourceLoogleLeanSearch

Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

AlgebraicGeometry.Scheme.ord · cited by 12Scheme.ordWithZero.unzeroD_eq_iff · cited by 3WithZero.unzeroD_eq_iffAlgebraicGeometry.Scheme.ord_eq_ordHom_of_coheight_eq_one · cited by 2Scheme.ord_eq_ordHom_of_c…WithZero.unzeroD_eq_unzero · cited by 2WithZero.unzeroD_eq_unzeroWithZero.le_unzeroD_iff · cited by 1WithZero.le_unzeroD_iffWithZero.unzeroD_eq_self_iff · cited by 1WithZero.unzeroD_eq_self_…WithZero.unzeroD_lt_iff · cited by 0WithZero.unzeroD_lt_iffWithZero.unzeroD_mono · cited by 0WithZero.unzeroD_monoWithZero.unzeroD_zero · cited by 0WithZero.unzeroD_zeroWithZero.le_unzeroD · cited by 0WithZero.le_unzeroDWithZero.lt_unzeroD_iff · cited by 0WithZero.lt_unzeroD_iffWithZero.unzeroD_coe · cited by 0WithZero.unzeroD_coeWithZero.le_coe_unzeroD · cited by 0WithZero.le_coe_unzeroDWithZero.unzeroD_eq_unzeroD_iff · cited by 0WithZero.unzeroD_eq_unzer…WithZero.unzeroD_le_iff · cited by 0WithZero.unzeroD_le_iffWithZero · cited by 586WithZeroWithZero.recZeroCoe · cited by 29WithZero.recZeroCoeWithZero.unzeroDCITED BYCITES

Cites2

Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.

Cited by15

Results whose statement or proof uses this declaration.