Mathlib Map

Theorems · Theorem · ring theory

TwoSidedIdeal.one_mem_iff

∀ {R : Type u_2} [inst : NonAssocRing R] (I : TwoSidedIdeal R), 1 ∈ I ↔ I = ⊤
Defined in
Mathlib.RingTheory.TwoSidedIdeal.Lattice
Cited by
2 results in Mathlib
Foundations
Depth 51 from the axioms · uses propext, Quot.sound
Assumes
NonAssocRing
Mathlib docsSourceLoogleLeanSearch

Around this declaration

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

TwoSidedIdeal.one_mem · cited by 0TwoSidedIdeal.one_memTwoSidedIdeal.eq_top · cited by 0TwoSidedIdeal.eq_topTop.top · cited by 9680Top.topmul_one · cited by 3885mul_oneNonAssocRing · cited by 483NonAssocRingeq_top_iff · cited by 236eq_top_iffTwoSidedIdeal · cited by 151TwoSidedIdealTwoSidedIdeal.mul_mem_left · cited by 8TwoSidedIdeal.mul_mem_leftTwoSidedIdeal.one_mem_iffCITED BYCITES

Cites6

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

Cited by2

Results whose statement or proof uses this declaration.