Theorems · Theorem · group theory
Ring.inverse_one
∀ (M₀ : Type u_2) [inst : MonoidWithZero M₀], Ring.inverse 1 = 1
- Cited by
- 5 results in Mathlib
- Foundations
- Depth 15 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.
Cites3
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- MonoidWithZerostatement and proof · cited by 456
- Ring.inversestatement · cited by 160
- Ring.inverse_unitproof · cited by 24
Cited by5
Results whose statement or proof uses this declaration.
- ContinuousLinearMap.inverse_idproof · cited by 6
- Matrix.det_nonsing_invproof · cited by 4
- MulChar.IsQuadratic.invproof · cited by 2
- DividedPowers.OfInvertibleFactorial.dpow_oneproof · cited by 0
- DividedPowers.OfInvertibleFactorial.dpow_zeroproof · cited by 0