Metamath Proof Explorer


Theorem thinccd

Description: A thin category is a category (deduction form). (Contributed by Zhi Wang, 24-Sep-2024)

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

Proof

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