Theorems · Theorem · category theory
CategoryTheory.SubobjectRepresentableBy.hasTerminal
∀ {C : Type u} [inst : CategoryTheory.Category.{v, u} C] [inst_1 : CategoryTheory.Limits.HasPullbacks C] {Ω : C}
(h : CategoryTheory.SubobjectRepresentableBy Ω), CategoryTheory.Limits.HasTerminal C- Cited by
- 1 results in Mathlib
- Foundations
- Depth 53 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites6
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- CategoryTheory.Categorystatement and proof · cited by 32,673
- CategoryTheory.Limits.HasPullbacksstatement and proof · cited by 439
- CategoryTheory.Limits.HasTerminalstatement · cited by 142
- CategoryTheory.SubobjectRepresentableBystatement and proof · cited by 19
- CategoryTheory.Limits.IsTerminal.hasTerminalproof · cited by 6
- CategoryTheory.SubobjectRepresentableBy.isTerminalΩ₀proof · cited by 1
Cited by1
Results whose statement or proof uses this declaration.
- CategoryTheory.Classifier.SubobjectRepresentableBy.hasTerminalproof · cited by 0