Metamath Proof Explorer


Theorem 0thinc

Description: The empty category (see 0cat ) is thin. (Contributed by Zhi Wang, 17-Sep-2024)

Ref Expression
Assertion 0thinc Could not format assertion : No typesetting found for |- (/) e. ThinCat with typecode |-

Proof

Step Hyp Ref Expression
1 0ex V
2 base0 = Base
3 0thincg Could not format ( ( (/) e. _V /\ (/) = ( Base ` (/) ) ) -> (/) e. ThinCat ) : No typesetting found for |- ( ( (/) e. _V /\ (/) = ( Base ` (/) ) ) -> (/) e. ThinCat ) with typecode |-
4 1 2 3 mp2an Could not format (/) e. ThinCat : No typesetting found for |- (/) e. ThinCat with typecode |-