Theorems · Theorem · group theory
Ring.mul_inverse_cancel_left
∀ {M₀ : Type u_2} [inst : MonoidWithZero M₀] (x y : M₀), IsUnit x → x * (Ring.inverse x * y) = y- Cited by
- 1 results in Mathlib
- Foundations
- Depth 16 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- MonoidWithZero
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.
- one_mulproof · cited by 2,841
- mul_assocproof · cited by 1,667
- IsUnitstatement and proof · cited by 1,602
- MonoidWithZerostatement and proof · cited by 456
- Ring.inversestatement and proof · cited by 160
- Ring.mul_inverse_cancelproof · cited by 6
Cited by1
Results whose statement or proof uses this declaration.
- Ring.inverse_mul_eq_iff_eq_mulproof · cited by 6