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Theorems · Inductive type · ring theory

NonUnitalCommRing

Type u → Type u

A non-unital commutative ring is a NonUnitalRing with commutative multiplication.

Defined in
Mathlib.Algebra.Ring.Defs
Cited by
9 results in Mathlib
Foundations
Depth 0 from the axioms · uses no axioms
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Around this declaration

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

IsStarNormal.norm_add_eq_max · cited by 3IsStarNormal.norm_add_eq_…NonUnitalCommRing.casesOn · cited by 1NonUnitalCommRing.casesOnNonUnitalCommRing.ext · cited by 1NonUnitalCommRing.extNonUnitalCommRing.toNonUnitalRing_injective · cited by 1NonUnitalCommRing.toNonUn…dvd_mul_sub_mul · cited by 1dvd_mul_sub_mulNonUnitalStarSubalgebra.nonUnitalCommRingTopologicalClosure · cited by 1NonUnitalStarSubalgebra.n…NonUnitalCommRing.ctorIdx · cited by 0NonUnitalCommRing.ctorIdxNonUnitalCommRing.ext_iff · cited by 0NonUnitalCommRing.ext_iffNonUnitalCommRing.mul_comm · cited by 0NonUnitalCommRing.mul_commNonUnitalCommRing.noConfusion · cited by 0NonUnitalCommRing.noConfu…NonUnitalCommRing.noConfusionType · cited by 0NonUnitalCommRing.noConfu…vieta_formula_quadratic · cited by 0vieta_formula_quadraticNonUnitalCommRing.recOn · cited by 0NonUnitalCommRing.recOnNonUnitalAlgebra.adjoinNonUnitalCommRingOfComm · cited by 0NonUnitalAlgebra.adjoinNo…NonUnitalSubalgebra.nonUnitalCommRingTopologicalClosure · cited by 0NonUnitalSubalgebra.nonUn…NonUnitalCommRingCITED BYCITES

Cites0

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Nothing in Mathlib beyond the foundations.

Cited by28

Results whose statement or proof uses this declaration.