Theorems · Theorem · algebraic geometry
PrimeSpectrum.isIdempotentElemEquivClopens_mul
∀ {R : Type u} [inst : CommRing R] (e₁ e₂ : ↑{e | IsIdempotentElem e}),
PrimeSpectrum.isIdempotentElemEquivClopens ⟨↑e₁ * ↑e₂, ⋯⟩ =
PrimeSpectrum.isIdempotentElemEquivClopens e₁ ⊓ PrimeSpectrum.isIdempotentElemEquivClopens e₂- Cited by
- 0 results in Mathlib
- Foundations
- Depth 94 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- CommRing
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Cites12
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement · cited by 62,936
- Setstatement · cited by 53,352
- CommRingstatement and proof · cited by 17,173
- Set.Elemstatement and proof · cited by 7,166
- Set.ofPredstatement and proof · cited by 6,101
- OrderIsostatement · cited by 874
- PrimeSpectrumstatement · cited by 625
- IsIdempotentElemstatement and proof · cited by 217
- TopologicalSpace.Clopensstatement · cited by 53
- InfHomClass.map_infproof · cited by 20
- PrimeSpectrum.isIdempotentElemEquivClopensstatement and proof · cited by 10
- IsIdempotentElem.mulstatement · cited by 3
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