Theorems · Theorem · category theory
PresheafOfModules.pullbackObjIsDefined_eq_top
∀ {C D : Type u} [inst : CategoryTheory.SmallCategory C] [inst_1 : CategoryTheory.SmallCategory D]
{F : CategoryTheory.Functor C D} {R : CategoryTheory.Functor Dᵒᵖ RingCat} {S : CategoryTheory.Functor Cᵒᵖ RingCat}
(φ : S ⟶ F.op.comp R), PresheafOfModules.pullbackObjIsDefined φ = ⊤- Cited by
- 0 results in Mathlib
- Foundations
- Depth 99 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites25
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.Functorstatement and proof · cited by 16,252
- Top.topstatement · cited by 9,680
- Oppositestatement and proof · cited by 8,081
- CategoryTheory.Functor.compstatement and proof · cited by 6,529
- CategoryTheory.Discreteproof · cited by 2,447
- Opposite.unopproof · cited by 2,231
- CategoryTheory.Functor.opstatement and proof · cited by 997
- CategoryTheory.ObjectPropertystatement · cited by 798
- CategoryTheory.Limits.WalkingParallelPairproof · cited by 781
- CategoryTheory.Discrete.functorproof · cited by 633
- CategoryTheory.SmallCategorystatement and proof · cited by 480
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