Theorems · Theorem · field theory
IsIdempotentElem.spectrum_subset
∀ (𝕜 : Type u_1) {A : Type u_2} [inst : Field 𝕜] [inst_1 : Ring A] [inst_2 : Algebra 𝕜 A] {p : A},
IsIdempotentElem p → spectrum 𝕜 p ⊆ {0, 1}- Defined in
- Mathlib.FieldTheory.IsAlgClosed.Spectrum
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 123 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites27
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
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Cited by2
Results whose statement or proof uses this declaration.
- IsIdempotentElem.quasispectrum_subsetproof · cited by 3
- IsIdempotentElem.finite_spectrumproof · cited by 0