Metamath Proof Explorer


Theorem termcthind

Description: A terminal category is a thin category (deduction form). (Contributed by Zhi Wang, 16-Oct-2025)

Ref Expression
Hypothesis termcthind.c No typesetting found for |- ( ph -> C e. TermCat ) with typecode |-
Assertion termcthind φ C ThinCat

Proof

Step Hyp Ref Expression
1 termcthind.c Could not format ( ph -> C e. TermCat ) : No typesetting found for |- ( ph -> C e. TermCat ) with typecode |-
2 termcthin Could not format ( C e. TermCat -> C e. ThinCat ) : No typesetting found for |- ( C e. TermCat -> C e. ThinCat ) with typecode |-
3 1 2 syl φ C ThinCat