Theorems · Theorem · commutative algebra
Ideal.span_one
∀ {α : Type u} [inst : Semiring α], Ideal.span 1 = ⊤- Defined in
- Mathlib.RingTheory.Ideal.Span
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 28 from the axioms · uses propext, Quot.sound
- Assumes
- Semiring
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites8
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
- Semiringstatement and proof · cited by 13,802
- Top.topstatement and proof · cited by 9,680
- Idealstatement and proof · cited by 4,748
- Ideal.spanstatement and proof · cited by 948
- Set.onestatement · cited by 54
- Ideal.span_singleton_oneproof · cited by 21
- Set.singleton_oneproof · cited by 3
Cited by2
Results whose statement or proof uses this declaration.
- Ideal.span_singleton_powproof · cited by 19
- IsSemisimpleRing.ideal_eq_span_idempotentproof · cited by 0