Theorems · Theorem · algebraic geometry
PrimeSpectrum.basicOpen_mul_le_left
∀ {R : Type u} [inst : CommSemiring R] (f g : R), PrimeSpectrum.basicOpen (f * g) ≤ PrimeSpectrum.basicOpen f- Cited by
- 1 results in Mathlib
- Foundations
- Depth 82 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- CommSemiring
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.
- CommSemiringstatement and proof · cited by 10,911
- TopologicalSpace.Opensstatement and proof · cited by 2,040
- PrimeSpectrumstatement and proof · cited by 625
- inf_le_leftproof · cited by 286
- PrimeSpectrum.basicOpenstatement and proof · cited by 163
- PrimeSpectrum.basicOpen_mulproof · cited by 5
Cited by1
Results whose statement or proof uses this declaration.
- Algebra.IsEtaleAt.exists_isStandardEtaleproof · cited by 1