Theorems · Theorem · group theory
eq_one_div_of_mul_eq_one_right
∀ {α : Type u_1} [inst : DivisionMonoid α] {a b : α}, a * b = 1 → b = 1 / a- Defined in
- Mathlib.Algebra.Group.Basic
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 9 from the axioms · uses no axioms
- 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.
- one_divproof · cited by 624
- DivisionMonoidstatement and proof · cited by 201
- eq_inv_of_mul_eq_one_rightproof · cited by 7
Cited by1
Results whose statement or proof uses this declaration.
- one_div_neg_one_eq_neg_oneproof · cited by 3