Theorem bj-nnfth

Description: A variable is nonfree in a theorem, inference form. (Contributed by BJ, 28-Jul-2023)

	Ref	Expression
Hypothesis	bj-nnfth.1	⊢ 𝜑
Assertion	bj-nnfth	⊢ Ⅎ' 𝑥 𝜑

Proof

Step	Hyp	Ref	Expression
1		bj-nnfth.1	⊢ 𝜑
2		bj-nnftht	⊢ ( ( 𝜑 ∧ ∀ 𝑥 𝜑 ) → Ⅎ' 𝑥 𝜑 )
3	1 2	bj-mpgs	⊢ Ⅎ' 𝑥 𝜑