Description: The class of walks is a set. (Contributed by AV, 15-Jan-2021) (Proof shortened by SN, 11-Dec-2024)
Ref | Expression | ||
---|---|---|---|
Assertion | wksv | ⊢ { ⟨ 𝑓 , 𝑝 ⟩ ∣ 𝑓 ( Walks ‘ 𝐺 ) 𝑝 } ∈ V |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | fvex | ⊢ ( Walks ‘ 𝐺 ) ∈ V | |
2 | opabss | ⊢ { ⟨ 𝑓 , 𝑝 ⟩ ∣ 𝑓 ( Walks ‘ 𝐺 ) 𝑝 } ⊆ ( Walks ‘ 𝐺 ) | |
3 | 1 2 | ssexi | ⊢ { ⟨ 𝑓 , 𝑝 ⟩ ∣ 𝑓 ( Walks ‘ 𝐺 ) 𝑝 } ∈ V |