Theorems · Theorem · group theory
IsUnit.mul_inv_eq_mul_inv_iff
∀ {α : Type u} [inst : DivisionCommMonoid α] {a b c d : α}, IsUnit b → IsUnit d → (a * b⁻¹ = c * d⁻¹ ↔ a * d = c * b)- Defined in
- Mathlib.Algebra.Group.Units.Basic
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 15 from the axioms · uses propext
- Assumes
- DivisionCommMonoid
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
- div_eq_mul_invproof · cited by 715
- DivisionCommMonoidstatement and proof · cited by 80
- IsUnit.div_eq_div_iffproof · cited by 3
Cited by1
Results whose statement or proof uses this declaration.
- mul_inv_eq_mul_inv_iffproof · cited by 0