Theorems · Definition · group theory
WithOne.unone
{α : Type u} → {x : WithOne α} → x ≠ 1 → αDeconstruct an x : WithOne α to the underlying value in α, given a proof that x ≠ 1.
- Defined in
- Mathlib.Algebra.Group.WithOne.Defs
- Cited by
- 4 results in Mathlib
- Foundations
- Depth 5 from the axioms · uses no axioms
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites2
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- WithOnestatement and proof · cited by 49
- WithOne.coeproof · cited by 33
Cited by4
Results whose statement or proof uses this declaration.
- WithOne.coe_unonestatement and proof · cited by 1
- WithOne.unoneD_eq_unonestatement and proof · cited by 0
- WithOne.unone_coestatement · cited by 0
- WithOne.unone.congr_simpstatement and proof · cited by 0