Theorem syldbl2

Description: Stacked hypotheseis implies goal. (Contributed by Stanislas Polu, 9-Mar-2020)

	Ref	Expression
Hypothesis	syldbl2.1	⊢ ( ( 𝜑 ∧ 𝜓 ) → ( 𝜓 → 𝜃 ) )
Assertion	syldbl2	⊢ ( ( 𝜑 ∧ 𝜓 ) → 𝜃 )

Proof

Step	Hyp	Ref	Expression
1		syldbl2.1	⊢ ( ( 𝜑 ∧ 𝜓 ) → ( 𝜓 → 𝜃 ) )
2	1	com12	⊢ ( 𝜓 → ( ( 𝜑 ∧ 𝜓 ) → 𝜃 ) )
3	2	anabsi7	⊢ ( ( 𝜑 ∧ 𝜓 ) → 𝜃 )