Theorems · Theorem · commutative algebra
isRightRegular_op
∀ {R : Type u_1} [inst : Mul R] {a : R}, IsRightRegular (MulOpposite.op a) ↔ IsLeftRegular a- Defined in
- Mathlib.Algebra.Regular.Opposite
- Cited by
- 3 results in Mathlib
- Foundations
- Depth 15 from the axioms · uses Quot.sound
- Assumes
- Mul
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites8
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- MulOppositestatement and proof · cited by 1,135
- MulOpposite.opstatement and proof · cited by 520
- MulOpposite.unopproof · cited by 268
- IsLeftRegularstatement · cited by 97
- IsRightRegularstatement · cited by 93
- MulOpposite.opEquivproof · cited by 24
- Equiv.injective_compproof · cited by 18
- Equiv.comp_injectiveproof · cited by 15
Cited by3
Results whose statement or proof uses this declaration.
- IsArtinianRing.isUnit_iff_isLeftRegularproof · cited by 2
- isLeftRegular_unopproof · cited by 1
- IsRightRegular.opproof · cited by 0