Theorems · Theorem · algebraic geometry
Module.isClosed_support
∀ {R : Type u_1} {M : Type u_3} [inst : CommRing R] [inst_1 : AddCommGroup M] [inst_2 : Module R M] [Module.Finite R M],
IsClosed (Module.support R M)- Defined in
- Mathlib.RingTheory.Spectrum.Prime.Module
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 88 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites12
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Setproof · cited by 53,352
- 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
- IsClosedstatement and proof · cited by 1,639
- Module.Finitestatement and proof · cited by 1,032
- PrimeSpectrumstatement and proof · cited by 625
- Module.annihilatorproof · cited by 61
- Module.supportstatement · cited by 52
- Module.support_eq_zeroLocusproof · cited by 10
- PrimeSpectrum.isClosed_zeroLocusproof · cited by 10
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