Theorems · Theorem · group theory
isUnit_op
∀ {M : Type u_2} [inst : Monoid M] {m : M}, IsUnit (MulOpposite.op m) ↔ IsUnit m- Defined in
- Mathlib.Algebra.Group.Units.Opposite
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 25 from the axioms · uses propext, Quot.sound
- Assumes
- Monoid
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.
- Monoidstatement and proof · cited by 3,887
- IsUnitstatement · cited by 1,602
- MulOppositestatement · cited by 1,135
- MulOpposite.opstatement · cited by 520
- IsUnit.opproof · cited by 3
- IsUnit.unopproof · cited by 2
Cited by1
Results whose statement or proof uses this declaration.
- IsArtinianRing.isUnit_iff_isLeftRegularproof · cited by 2