Theorems · Theorem · group theory
IsUnit.inv_mul_cancel_right
∀ {α : Type u} [inst : DivisionMonoid α] {b : α}, IsUnit b → ∀ (a : α), a * b⁻¹ * b = a- Defined in
- Mathlib.Algebra.Group.Units.Basic
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 12 from the axioms · uses propext
- Assumes
- DivisionMonoid
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.
- IsUnitstatement and proof · cited by 1,602
- DivisionMonoidstatement and proof · cited by 201
- IsUnit.unit'proof · cited by 14
- Units.inv_mul_cancel_rightproof · cited by 9
Cited by2
Results whose statement or proof uses this declaration.
- IsUnit.div_mul_cancelproof · cited by 37
- WeierstrassCurve.Jacobian.equiv_of_Z_eq_zeroproof · cited by 3