Theorems · Theorem · commutative algebra
TwoSidedIdeal.mem_jacobson_iff
∀ {R : Type u} [inst : Ring R] {x : R} {I : TwoSidedIdeal R}, x ∈ I.jacobson ↔ ∀ (y : R), ∃ z, z * y * x + z - 1 ∈ I- Defined in
- Mathlib.RingTheory.Jacobson.Ideal
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- 0 results in Mathlib
- Foundations
- Depth 77 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- Ring
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- Ringstatement and proof · cited by 7,463
- TwoSidedIdealstatement and proof · cited by 151
- TwoSidedIdeal.jacobsonstatement · cited by 4
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