Theorems · Theorem · group theory
isUnit_zero_iff
∀ {M₀ : Type u_2} [inst : MonoidWithZero M₀], IsUnit 0 ↔ 0 = 1- Cited by
- 4 results in Mathlib
- Foundations
- Depth 10 from the axioms · uses no axioms
- Assumes
- MonoidWithZero
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites4
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- MulZeroClass.zero_mulproof · cited by 1,625
- IsUnitstatement and proof · cited by 1,602
- MonoidWithZerostatement and proof · cited by 456
- isUnit_of_subsingletonproof · cited by 9
Cited by4
Results whose statement or proof uses this declaration.
- not_isUnit_zeroproof · cited by 20
- AlgebraicGeometry.isIntegral_of_irreducibleSpace_of_isReducedproof · cited by 3
- AlgebraicGeometry.LocallyRingedSpace.basicOpen_zeroproof · cited by 2
- zero_mem_nonunitsproof · cited by 0