Theorems · Theorem · commutative algebra
Ideal.Quotient.span_singleton_one
∀ {A : Type u_3} [inst : Ring A] (I : Ideal A) [I.IsTwoSided], A ∙ 1 = ⊤- Cited by
- 1 results in Mathlib
- Foundations
- Depth 86 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- RingIdeal.IsTwoSided
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites20
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
- Top.topstatement and proof · cited by 9,680
- Ringstatement and proof · cited by 7,463
- Submodulestatement and proof · cited by 7,192
- Idealstatement and proof · cited by 4,748
- HasQuotient.Quotientstatement and proof · cited by 2,301
- Submodule.spanstatement and proof · cited by 1,504
- map_oneproof · cited by 861
- Submodule.mapproof · cited by 614
- Ideal.Quotient.mkproof · cited by 610
- Submodule.mkQproof · cited by 232
Cited by1
Results whose statement or proof uses this declaration.
- Submodule.isQuotientEquivQuotientPrime_iffproof · cited by 1