Theorems · Theorem · ring theory
TwoSidedIdeal.set_mul_subset
∀ {R : Type u_1} [inst : NonUnitalRing R] {s : Set R} {I : TwoSidedIdeal R}, s ⊆ ↑I → ∀ (t : Set R), t * s ⊆ ↑I- Cited by
- 2 results in Mathlib
- Foundations
- Depth 42 from the axioms · uses propext, Quot.sound
- Assumes
- NonUnitalRing
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites6
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Setstatement and proof · cited by 53,352
- SetLike.coestatement and proof · cited by 8,199
- NonUnitalRingstatement and proof · cited by 422
- Set.mulstatement · cited by 297
- TwoSidedIdealstatement and proof · cited by 151
- TwoSidedIdeal.mul_mem_leftproof · cited by 8
Cited by2
Results whose statement or proof uses this declaration.
- TwoSidedIdeal.mem_span_iff_mem_addSubgroup_closure_nonunitalproof · cited by 0
- TwoSidedIdeal.mem_span_iff_mem_addSubgroup_closureproof · cited by 0