Theorems · Theorem · algebraic geometry
Module.isLocallyConstant_rankAtStalk
∀ {R : Type uR} {M : Type uM} [inst : CommRing R] [inst_1 : AddCommGroup M] [inst_2 : Module R M]
[Module.FinitePresentation R M] [Module.Flat R M], IsLocallyConstant (Module.rankAtStalk M)- Cited by
- 1 results in Mathlib
- Foundations
- Depth 123 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites21
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coeproof · cited by 62,936
- TopologicalSpaceproof · cited by 24,529
- Modulestatement and proof · cited by 20,661
- CommRingstatement and proof · cited by 17,173
- AddCommGroupstatement and proof · cited by 12,871
- Set.Elemproof · cited by 7,166
- Homeomorphproof · cited by 725
- PrimeSpectrumstatement and proof · cited by 625
- Homeomorph.symmproof · cited by 365
- Module.Flatstatement and proof · cited by 279
- Module.FinitePresentationstatement and proof · cited by 60
- Homeomorph.continuousproof · cited by 53
Cited by1
Results whose statement or proof uses this declaration.
- AlgebraicGeometry.Scheme.Hom.isLocallyConstant_finrankproof · cited by 0