Theorem wl-luk-imim2i

Description: Inference adding common antecedents in an implication. Copy of imim2i with a different proof. (Contributed by Wolf Lammen, 17-Dec-2018) (New usage is discouraged.) (Proof modification is discouraged.)

	Ref	Expression
Hypothesis	wl-luk-imim2i.1	⊢ ( 𝜑 → 𝜓 )
Assertion	wl-luk-imim2i	⊢ ( ( 𝜒 → 𝜑 ) → ( 𝜒 → 𝜓 ) )

Proof

Step	Hyp	Ref	Expression
1		wl-luk-imim2i.1	⊢ ( 𝜑 → 𝜓 )
2		ax-luk1	⊢ ( ( 𝜒 → 𝜑 ) → ( ( 𝜑 → 𝜓 ) → ( 𝜒 → 𝜓 ) ) )
3	1 2	wl-luk-mpi	⊢ ( ( 𝜒 → 𝜑 ) → ( 𝜒 → 𝜓 ) )