Theorems · Theorem · group theory
IsUnit.div_eq_one_iff_eq
∀ {α : Type u} [inst : DivisionMonoid α] {a b : α}, IsUnit b → (a / b = 1 ↔ a = b)- Defined in
- Mathlib.Algebra.Group.Units.Basic
- Cited by
- 1 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
- eq_of_div_eq_oneproof · cited by 6
- IsUnit.div_selfproof · cited by 3
Cited by1
Results whose statement or proof uses this declaration.
- div_eq_one_iff_eqproof · cited by 16