Theorems · Theorem · algebraic geometry
Module.stableUnderSpecialization_support
∀ {R : Type u_1} {M : Type u_3} [inst : CommRing R] [inst_1 : AddCommGroup M] [inst_2 : Module R M],
StableUnderSpecialization (Module.support R M)- Defined in
- Mathlib.RingTheory.Spectrum.Prime.Module
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 83 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- CommRingAddCommGroupModule
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Cites9
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
- PrimeSpectrumstatement and proof · cited by 625
- Specializesproof · cited by 176
- Module.supportstatement · cited by 52
- StableUnderSpecializationstatement · cited by 32
- PrimeSpectrum.le_iff_specializesproof · cited by 8
- Module.mem_support_monoproof · cited by 4
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