Theorems · Definition · algebraic geometry
AlgebraicGeometry.tildeFinsupp
{R : CommRingCat} → (ι : Type u) → AlgebraicGeometry.tilde (ModuleCat.of (↑R) (ι →₀ ↑R)) ≅ SheafOfModules.free ιTilde of direct sums of R as an R-module is isomorphic to the free sheaf.
- Defined in
- Mathlib.AlgebraicGeometry.Modules.Tilde
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 154 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites48
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coeproof · cited by 62,936
- Setstatement · cited by 53,352
- CategoryTheory.Functor.objstatement · cited by 19,642
- CategoryTheory.Functorstatement · cited by 16,252
- Oppositestatement · cited by 8,081
- CategoryTheory.Functor.compstatement · cited by 6,529
- Finsuppstatement · cited by 5,255
- CategoryTheory.Isostatement · cited by 3,963
- Equiv.symmproof · cited by 3,681
- AddMonoidHomstatement · cited by 3,230
- TopCat.carrierstatement · cited by 3,184
- CategoryTheory.Discreteproof · cited by 2,447
Cited by2
Results whose statement or proof uses this declaration.
- AlgebraicGeometry.presentationTildeproof · cited by 0
- AlgebraicGeometry.isIso_fromTildeΓ_of_presentationproof · cited by 0