Theorems · Theorem · ring theory
TwoSidedIdeal.span_le
∀ {R : Type u_1} [inst : NonUnitalNonAssocRing R] {s : Set R} {I : TwoSidedIdeal R}, TwoSidedIdeal.span s ≤ I ↔ s ⊆ ↑I- Cited by
- 1 results in Mathlib
- Foundations
- Depth 47 from the axioms · uses propext, Quot.sound
- Assumes
- NonUnitalNonAssocRing
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites12
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coeproof · cited by 62,936
- Setstatement and proof · cited by 53,352
- SetLike.coestatement and proof · cited by 8,199
- sub_zeroproof · cited by 938
- NonUnitalNonAssocRingstatement and proof · cited by 354
- TwoSidedIdealstatement and proof · cited by 151
- GaloisInsertion.gcproof · cited by 137
- TwoSidedIdeal.ringConproof · cited by 40
- RingCon.giproof · cited by 10
- TwoSidedIdeal.spanstatement · cited by 9
- TwoSidedIdeal.rel_iffproof · cited by 4
- TwoSidedIdeal.ringCon_le_iffproof · cited by 1
Cited by1
Results whose statement or proof uses this declaration.
- TwoSidedIdeal.span_inductionproof · cited by 0