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Theorems · Theorem · ring theory

Ideal.asIdeal_toTwoSided

∀ {R : Type u_1} [inst : Ring R] (I : Ideal R) [inst_1 : I.IsTwoSided], TwoSidedIdeal.asIdeal I.toTwoSided = I
Defined in
Mathlib.RingTheory.TwoSidedIdeal.Operations
Cited by
1 results in Mathlib
Foundations
Depth 46 from the axioms · uses propext, Quot.sound
Assumes
RingIdeal.IsTwoSided
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Around this declaration

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

TwoSidedIdeal.asIdeal_jacobson · cited by 1TwoSidedIdeal.asIdeal_jac…DFunLike.coe · cited by 62936DFunLike.coeRing · cited by 7463RingIdeal · cited by 4748IdealOrderHom · cited by 934OrderHomIdeal.IsTwoSided · cited by 179Ideal.IsTwoSidedTwoSidedIdeal · cited by 151TwoSidedIdealIdeal.ext · cited by 131Ideal.extTwoSidedIdeal.asIdeal · cited by 13TwoSidedIdeal.asIdealIdeal.toTwoSided · cited by 6Ideal.toTwoSidedIdeal.asIdeal_toTwoSidedCITED BYCITES

Cites9

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

Cited by1

Results whose statement or proof uses this declaration.