Theorems · Theorem · group theory
IsUnit.div_left_inj
∀ {α : Type u} [inst : DivisionMonoid α] {a b c : α}, IsUnit c → (a / c = b / c ↔ a = b)- Defined in
- Mathlib.Algebra.Group.Units.Basic
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 12 from the axioms · uses no axioms
- Assumes
- DivisionMonoid
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites6
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
- div_eq_mul_invproof · cited by 715
- DivisionMonoidstatement and proof · cited by 201
- IsUnit.unit'proof · cited by 14
- Units.mul_left_injproof · cited by 8
- IsUnit.invproof · cited by 7
Cited by1
Results whose statement or proof uses this declaration.
- div_left_inj'proof · cited by 11