Theorems · Theorem · group theory
IsUnit.div
∀ {α : Type u} [inst : DivisionMonoid α] {a b : α}, IsUnit a → IsUnit b → IsUnit (a / b)- Defined in
- Mathlib.Algebra.Group.Units.Defs
- Cited by
- 4 results in Mathlib
- Foundations
- Depth 11 from the axioms · uses no axioms
- Assumes
- DivisionMonoid
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites5
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- IsUnitstatement and proof · cited by 1,602
- div_eq_mul_invproof · cited by 715
- DivisionMonoidstatement and proof · cited by 201
- IsUnit.mulproof · cited by 32
- IsUnit.invproof · cited by 7
Cited by4
Results whose statement or proof uses this declaration.
- WeierstrassCurve.Jacobian.nonsingular_negproof · cited by 2
- WeierstrassCurve.Jacobian.Point.toAffine_negproof · cited by 1
- IsUnit.unit_divstatement · cited by 0
- WeierstrassCurve.Jacobian.negMap_of_Z_eq_zeroproof · cited by 0