Theorems · Theorem · group theory
RightCancelMonoid.eq_one_of_mul_right
∀ {α : Type u} [inst : RightCancelMonoid α] [Subsingleton αˣ] {a b : α}, a * b = 1 → a = 1- Defined in
- Mathlib.Algebra.Group.Units.Basic
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 8 from the axioms · uses propext
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites7
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- mul_oneproof · cited by 3,885
- one_mulproof · cited by 2,841
- Unitsstatement and proof · cited by 2,804
- mul_assocproof · cited by 1,667
- Units.invproof · cited by 35
- RightCancelMonoidstatement and proof · cited by 18
- mul_right_cancel_iffproof · cited by 6
Cited by2
Results whose statement or proof uses this declaration.
- RightCancelMonoid.eq_one_of_mul_leftproof · cited by 1
- RightCancelMonoid.mul_eq_oneproof · cited by 0