Theorems · Theorem · algebraic geometry
AlgebraicGeometry.tilde.map_id_assoc
∀ {R : CommRingCat} {M : ModuleCat ↑R} {Z : (AlgebraicGeometry.Spec R).Modules} (h : AlgebraicGeometry.tilde M ⟶ Z),
CategoryTheory.CategoryStruct.comp (AlgebraicGeometry.tilde.map (CategoryTheory.CategoryStruct.id M)) h = h- Defined in
- Mathlib.AlgebraicGeometry.Modules.Tilde
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- 0 results in Mathlib
- Foundations
- Depth 144 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites12
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Quiver.Homstatement and proof · cited by 32,603
- CategoryTheory.CategoryStruct.compstatement and proof · cited by 17,999
- CategoryTheory.CategoryStruct.idstatement and proof · cited by 6,235
- CommRingCatstatement and proof · cited by 2,333
- CategoryTheory.Category.id_compproof · cited by 1,998
- ModuleCatstatement and proof · cited by 1,429
- CommRingCat.carrierstatement and proof · cited by 1,096
- AlgebraicGeometry.Specstatement and proof · cited by 626
- AlgebraicGeometry.Scheme.Modulesstatement and proof · cited by 108
- AlgebraicGeometry.tildestatement and proof · cited by 24
- AlgebraicGeometry.tilde.mapstatement and proof · cited by 11
- AlgebraicGeometry.tilde.map_idproof · cited by 1
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