Theorems · Theorem · group theory
eq_one_of_mul_left
∀ {α : Type u} [inst : CommMonoid α] [Subsingleton αˣ] {a b : α}, a * b = 1 → b = 1- Defined in
- Mathlib.Algebra.Group.Units.Basic
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 8 from the axioms · uses no axioms
- Assumes
- CommMonoidSubsingleton
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.
- Unitsstatement and proof · cited by 2,804
- CommMonoidstatement and proof · cited by 2,264
- mul_commproof · cited by 2,262
- Units.invproof · cited by 35
Cited by1
Results whose statement or proof uses this declaration.
- mul_eq_oneproof · cited by 6