Connected
📁 Source: Mathlib/CategoryTheory/Limits/Final/Connected.lean
Statistics
| Metric | Count |
|---|---|
| Definitions | 0 |
| 8 | |
| Total | 8 |
CategoryTheory
Theorems
| Name | Kind | Assumes | Proves | Validates | Depends On |
|---|---|---|---|---|---|
final_fst 📖 | mathematical | — | Functor.Finalprod'Prod.fst | — | — |
final_snd 📖 | mathematical | — | Functor.Finalprod'Prod.snd | — | — |
initial_fst 📖 | mathematical | — | Functor.Initialprod'Prod.fst | — | — |
initial_snd 📖 | mathematical | — | Functor.Initialprod'Prod.snd | — | — |
instFinalDiscreteOfIsConnected 📖 | mathematical | — | Functor.FinalDiscretediscreteCategory | — | isConnected_iff_final_of_unique |
instInitialDiscreteOfIsConnected 📖 | mathematical | — | Functor.InitialDiscretediscreteCategory | — | isConnected_iff_initial_of_unique |
isConnected_iff_final_of_unique 📖 | mathematical | — | IsConnectedFunctor.FinalDiscretediscreteCategory | — | isConnected_iff_of_equivalenceUnique.instSubsingletonFunctor.Final.out |
isConnected_iff_initial_of_unique 📖 | mathematical | — | IsConnectedFunctor.InitialDiscretediscreteCategory | — | isConnected_iff_of_equivalenceUnique.instSubsingletonFunctor.Initial.out |
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