Theorems · Theorem · group theory
IsUnit.div_eq_of_eq_mul
∀ {α : Type u} [inst : DivisionMonoid α] {a b c : α}, IsUnit b → a = c * b → a / b = c- Defined in
- Mathlib.Algebra.Group.Units.Basic
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 14 from the axioms · uses propext
- Assumes
- DivisionMonoid
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites3
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
- DivisionMonoidstatement and proof · cited by 201
- IsUnit.div_eq_iffproof · cited by 4
Cited by1
Results whose statement or proof uses this declaration.
- div_eq_of_eq_mulproof · cited by 1