Theorems · Theorem · commutative algebra
isAddRightRegular_op
∀ {R : Type u_1} [inst : Add R] {a : R}, IsAddRightRegular (AddOpposite.op a) ↔ IsAddLeftRegular a- Defined in
- Mathlib.Algebra.Regular.Opposite
- Cited by
- 3 results in Mathlib
- Foundations
- Depth 15 from the axioms · uses Quot.sound
- Assumes
- Add
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.
- AddOppositestatement and proof · cited by 452
- AddOpposite.opstatement and proof · cited by 192
- AddOpposite.unopproof · cited by 125
- IsAddLeftRegularstatement · cited by 58
- IsAddRightRegularstatement · cited by 55
- AddOpposite.opEquivproof · cited by 20
- Equiv.injective_compproof · cited by 18
- Equiv.comp_injectiveproof · cited by 15
Cited by3
Results whose statement or proof uses this declaration.
- isAddRegular_opproof · cited by 2
- isAddLeftRegular_unopproof · cited by 1
- IsAddRightRegular.opproof · cited by 0