Theorems · Theorem · ring theory
TwoSidedIdeal.one_mem
∀ {R : Type u_2} [inst : NonAssocRing R] (I : TwoSidedIdeal R), I = ⊤ → 1 ∈ IAlias of the reverse direction of TwoSidedIdeal.one_mem_iff.
- Defined in
- Mathlib.RingTheory.TwoSidedIdeal.Lattice
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 52 from the axioms · uses propext, Quot.sound
- Assumes
- NonAssocRing
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites4
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Top.topstatement · cited by 9,680
- NonAssocRingstatement and proof · cited by 483
- TwoSidedIdealstatement and proof · cited by 151
- TwoSidedIdeal.one_mem_iffproof · cited by 2
Cited by0
Results whose statement or proof uses this declaration.
Nothing cites this yet.