Theorems · Theorem · algebraic geometry
PrimeSpectrum.sigmaToPi_mk_basicOpen
∀ {ι : Type u_1} {R : ι → Type u_2} [inst : (i : ι) → CommRing (R i)] [inst_1 : DecidableEq ι] (i : ι) (f : R i),
PrimeSpectrum.sigmaToPi R '' Sigma.mk i '' ↑(PrimeSpectrum.basicOpen f) = ↑(PrimeSpectrum.basicOpen (Pi.single i f))- Cited by
- 0 results in Mathlib
- Foundations
- Depth 82 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- CommRingDecidableEq
Around this declaration
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Cites11
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Setstatement · cited by 53,352
- CommRingstatement and proof · cited by 17,173
- SetLike.coestatement and proof · cited by 8,199
- Set.imagestatement · cited by 5,609
- TopologicalSpace.Opensstatement · cited by 2,040
- PrimeSpectrumstatement · cited by 625
- Pi.singlestatement and proof · cited by 518
- PrimeSpectrum.basicOpenstatement and proof · cited by 163
- Set.image_imageproof · cited by 140
- PrimeSpectrum.sigmaToPistatement and proof · cited by 10
- PrimeSpectrum.comap_evalRingHom_basicOpenproof · cited by 2
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