Theorems · Theorem · algebraic geometry
Polynomial.isCompact_image_comap_of_monic
∀ {R : Type u_1} [inst : CommRing R] (f g : Polynomial R),
g.Monic → IsCompact (PrimeSpectrum.comap Polynomial.C '' (PrimeSpectrum.zeroLocus {g} \ PrimeSpectrum.zeroLocus {f}))- Cited by
- 0 results in Mathlib
- Foundations
- Depth 131 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- CommRing
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Cites21
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Setstatement and proof · cited by 53,352
- CommRingstatement and proof · cited by 17,173
- Finsetproof · cited by 13,712
- SetLike.coeproof · cited by 8,199
- Set.Elemproof · cited by 7,166
- Polynomialstatement and proof · cited by 5,681
- Set.imagestatement and proof · cited by 5,609
- Compl.complproof · cited by 2,925
- Polynomial.Cstatement and proof · cited by 1,598
- IsCompactstatement and proof · cited by 1,282
- PrimeSpectrumstatement and proof · cited by 625
- Polynomial.Monicstatement and proof · cited by 461
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