Theorems · Theorem · algebraic geometry
Module.comap_freeLocus_le
∀ {R : Type uR} {M : Type uM} [inst : CommRing R] [inst_1 : AddCommGroup M] [inst_2 : Module R M] {A : Type u_1}
[inst_3 : CommRing A] [inst_4 : Algebra R A],
PrimeSpectrum.comap (algebraMap R A) ⁻¹' Module.freeLocus R M ⊆ Module.freeLocus A (TensorProduct R A M)- Cited by
- 0 results in Mathlib
- Foundations
- Depth 97 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites27
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Setstatement · cited by 53,352
- Modulestatement and proof · cited by 20,661
- RingHom.idproof · cited by 18,349
- CommRingstatement and proof · cited by 17,173
- AddCommGroupstatement and proof · cited by 12,871
- Algebrastatement and proof · cited by 11,388
- Set.preimagestatement and proof · cited by 4,946
- Algebra.algebraMapstatement and proof · cited by 4,706
- IsScalarTowerproof · cited by 3,896
- LinearEquivproof · cited by 3,317
- TensorProductstatement and proof · cited by 2,545
- LinearEquiv.symmproof · cited by 1,461
Cited by0
Results whose statement or proof uses this declaration.
Nothing cites this yet.