Theorems · Theorem · algebraic geometry
Algebra.smoothLocus_eq_univ
∀ {R : Type u_1} {A : Type u_2} [inst : CommRing R] [inst_1 : CommRing A] [inst_2 : Algebra R A] [Algebra.Smooth R A],
Algebra.smoothLocus R A = Set.univ- Defined in
- Mathlib.RingTheory.Smooth.Locus
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 139 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites8
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
- Algebrastatement and proof · cited by 11,388
- Set.univstatement · cited by 3,945
- PrimeSpectrumstatement · cited by 625
- Algebra.Smoothstatement and proof · cited by 22
- Algebra.smoothLocusstatement · cited by 11
- Algebra.smoothLocus_eq_univ_iffproof · cited by 3
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