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Theorems · Definition · algebraic geometry

AlgebraicGeometry.tilde.map

{R : CommRingCat} → {M N : ModuleCat ↑R} → (M ⟶ N) → (AlgebraicGeometry.tilde M ⟶ AlgebraicGeometry.tilde N)

The tilde construction is functorial.

Defined in
Mathlib.AlgebraicGeometry.Modules.Tilde
Cited by
11 results in Mathlib
Foundations
Depth 142 from the axioms · uses propext, Classical.choice, Quot.sound
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Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

AlgebraicGeometry.tilde.functor · cited by 12tilde.functorAlgebraicGeometry.tilde.toOpen_map_app · cited by 1tilde.toOpen_map_appAlgebraicGeometry.tilde.map_comp · cited by 1tilde.map_compAlgebraicGeometry.tilde.map_id · cited by 1tilde.map_idAlgebraicGeometry.tilde.toOpen_map_app_assoc · cited by 0tilde.toOpen_map_app_assocAlgebraicGeometry.presentationTilde · cited by 0AlgebraicGeometry.present…AlgebraicGeometry.tilde.functor_map · cited by 0tilde.functor_mapAlgebraicGeometry.tilde.map_add · cited by 0tilde.map_addAlgebraicGeometry.tilde.map_comp_assoc · cited by 0tilde.map_comp_assocAlgebraicGeometry.tilde.map_id_assoc · cited by 0tilde.map_id_assocAlgebraicGeometry.tilde.map_neg · cited by 0tilde.map_negAlgebraicGeometry.tilde.map_sub · cited by 0tilde.map_subAlgebraicGeometry.tilde.map_zero · cited by 0tilde.map_zeroQuiver.Hom · cited by 32603Quiver.HomCategoryTheory.CategoryStruct.comp · cited by 17999CategoryStruct.compOpposite · cited by 8081OppositeCategoryTheory.Iso.hom · cited by 7684Iso.homCategoryTheory.Iso.inv · cited by 6514Iso.invTopCat.carrier · cited by 3184TopCat.carrierCommRingCat · cited by 2333CommRingCatOpposite.unop · cited by 2231Opposite.unopTopologicalSpace.Opens · cited by 2040TopologicalSpace.OpensAlgebraicGeometry.PresheafedSpace.carrier · cited by 2020PresheafedSpace.carrierAlgebraicGeometry.SheafedSpace.toPresheafedSpace · cited by 1988SheafedSpace.toPresheafed…AlgebraicGeometry.LocallyRingedSpace.toSheafedSpace · cited by 1892LocallyRingedSpace.toShea…AlgebraicGeometry.Scheme.toLocallyRingedSpace · cited by 1734Scheme.toLocallyRingedSpa…ModuleCat · cited by 1429ModuleCatCommRingCat.carrier · cited by 1096CommRingCat.carriertilde.mapCITED BYCITES

Cites24

Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.

Cited by13

Results whose statement or proof uses this declaration.