Theorems · Theorem · algebraic geometry
PrimeSpectrum.isIdempotentElemEquivClopens_symm_inf
∀ {R : Type u} [inst : CommRing R] (s₁ s₂ : TopologicalSpace.Clopens (PrimeSpectrum R)),
PrimeSpectrum.isIdempotentElemEquivClopens.symm (s₁ ⊓ s₂) =
⟨↑(PrimeSpectrum.isIdempotentElemEquivClopens.symm s₁) * ↑(PrimeSpectrum.isIdempotentElemEquivClopens.symm s₂), ⋯⟩- Cited by
- 0 results in Mathlib
- Foundations
- Depth 94 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- CommRing
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites10
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement · cited by 62,936
- CommRingstatement and proof · cited by 17,173
- OrderIsostatement · cited by 874
- PrimeSpectrumstatement and proof · cited by 625
- OrderIso.symmstatement and proof · cited by 475
- IsIdempotentElemstatement · cited by 217
- TopologicalSpace.Clopensstatement and proof · cited by 53
- InfHomClass.map_infproof · cited by 20
- PrimeSpectrum.isIdempotentElemEquivClopensstatement and proof · cited by 10
- IsIdempotentElem.mulstatement · cited by 3
Cited by0
Results whose statement or proof uses this declaration.
Nothing cites this yet.