Theorems · Theorem · algebraic geometry
Module.isOpen_freeLocus
∀ {R : Type uR} {M : Type uM} [inst : CommRing R] [inst_1 : AddCommGroup M] [inst_2 : Module R M]
[Module.FinitePresentation R M], IsOpen (Module.freeLocus R M)- Cited by
- 1 results in Mathlib
- Foundations
- Depth 121 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites23
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Modulestatement and proof · cited by 20,661
- CommRingstatement and proof · cited by 17,173
- AddCommGroupstatement and proof · cited by 12,871
- SetLike.coeproof · cited by 8,199
- IsOpenstatement · cited by 2,400
- Module.finrankproof · cited by 1,770
- PrimeSpectrumstatement and proof · cited by 625
- Module.Freeproof · cited by 597
- Ideal.primeComplproof · cited by 462
- Submonoid.powersproof · cited by 408
- PrimeSpectrum.asIdealproof · cited by 333
- Localization.AtPrimeproof · cited by 299
Cited by1
Results whose statement or proof uses this declaration.
- Algebra.isOpen_smoothLocusproof · cited by 2