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Theorems · Theorem · commutative algebra

isAddRegular_op

∀ {R : Type u_1} [inst : Add R] {a : R}, IsAddRegular (AddOpposite.op a) ↔ IsAddRegular a
Defined in
Mathlib.Algebra.Regular.Opposite
Cited by
2 results in Mathlib
Foundations
Depth 16 from the axioms · uses propext, Quot.sound
Assumes
Add
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Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

isAddRegular_unop · cited by 1isAddRegular_unopIsAddRegular.op · cited by 0IsAddRegular.opAddOpposite · cited by 452AddOppositeAddOpposite.op · cited by 192AddOpposite.opIsAddLeftRegular · cited by 58IsAddLeftRegularIsAddRightRegular · cited by 55IsAddRightRegularIsAddRegular · cited by 43IsAddRegularisAddRegular_iff · cited by 7isAddRegular_iffisAddLeftRegular_op · cited by 4isAddLeftRegular_opisAddRightRegular_op · cited by 3isAddRightRegular_opisAddRegular_opCITED BYCITES

Cites8

Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.

Cited by2

Results whose statement or proof uses this declaration.