PrimeSpectrum.isClopen_iff_mul_add_zeroLocus

∀ {R : Type u} [inst : CommSemiring R] {s : Set (PrimeSpectrum R)},
  IsClopen s ↔ ∃ e f, e * f = 0 ∧ e + f = 1 ∧ s = PrimeSpectrum.zeroLocus {e}

Defined in: Mathlib.RingTheory.Spectrum.Prime.Topology
Cited by: 0 results in Mathlib
Foundations: Depth 90 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes: CommSemiring

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