Theorems · Theorem · group theory
IsUnit.div_div_cancel_left
∀ {α : Type u} [inst : DivisionCommMonoid α] {a b : α}, IsUnit a → a / b / a = b⁻¹- Defined in
- Mathlib.Algebra.Group.Units.Basic
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 11 from the axioms · uses propext
- Assumes
- DivisionCommMonoid
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites6
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- one_mulproof · cited by 2,841
- IsUnitstatement and proof · cited by 1,602
- div_eq_mul_invproof · cited by 715
- mul_right_commproof · cited by 108
- DivisionCommMonoidstatement and proof · cited by 80
- IsUnit.mul_inv_cancelproof · cited by 6
Cited by1
Results whose statement or proof uses this declaration.
- div_div_cancel_left'proof · cited by 1