Theorem termccatd

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

	Ref	Expression
Hypothesis	termcthind.c	⊢ ( 𝜑 → 𝐶 ∈ TermCat )
Assertion	termccatd	⊢ ( 𝜑 → 𝐶 ∈ Cat )

Proof

Step	Hyp	Ref	Expression
1		termcthind.c	⊢ ( 𝜑 → 𝐶 ∈ TermCat )
2	1	termcthind	⊢ ( 𝜑 → 𝐶 ∈ ThinCat )
3	2	thinccatd	⊢ ( 𝜑 → 𝐶 ∈ Cat )