Theorems · Theorem · algebraic geometry
AlgebraicGeometry.StructureSheaf.const_algebraMap
∀ {R A : Type u} [inst : CommRing R] [inst_1 : CommRing A] [inst_2 : Algebra R A] (f : R)
(U : TopologicalSpace.Opens ↑(AlgebraicGeometry.PrimeSpectrum.Top R)) (hu : U ≤ PrimeSpectrum.basicOpen f),
AlgebraicGeometry.StructureSheaf.const ((algebraMap R A) f) f U hu = 1- Defined in
- Mathlib.AlgebraicGeometry.StructureSheaf
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 94 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites25
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement and proof · cited by 62,936
- CategoryTheory.Functor.objstatement · cited by 19,642
- CommRingstatement and proof · cited by 17,173
- CategoryTheory.Functorstatement · cited by 16,252
- Algebrastatement and proof · cited by 11,388
- RingHomstatement · cited by 10,189
- Oppositestatement · cited by 8,081
- Algebra.algebraMapstatement and proof · cited by 4,706
- mul_oneproof · cited by 3,885
- TopCat.carrierstatement and proof · cited by 3,184
- Opposite.unopproof · cited by 2,231
- TopologicalSpace.Opensstatement and proof · cited by 2,040
Cited by2
Results whose statement or proof uses this declaration.
- AlgebraicGeometry.StructureSheaf.const_selfproof · cited by 1
- AlgebraicGeometry.StructureSheaf.const_oneproof · cited by 0