Theorem wl-a1d 33263

Description: Deduction introducing an embedded antecedent. Copy of imim2 58 with a different proof. (Contributed by Wolf Lammen, 17-Dec-2018.) (New usage is discouraged.) (Proof modification is discouraged.)

Hypothesis

Ref	Expression
wl-a1d.1	|- ( ph -> ps )

Assertion

Ref	Expression
wl-a1d	|- ( ph -> ( ch -> ps ) )

Proof of Theorem wl-a1d

Step	Hyp	Ref	Expression
1		wl-a1d.1	. 2 |- ( ph -> ps )
2		wl-ax1 33256	. 2 |- ( ps -> ( ch -> ps ) )
3	1, 2	wl-syl 33246	1 |- ( ph -> ( ch -> ps ) )

Syntax hints:   -> wi 4

This theorem was proved from axioms:  ax-mp 5  ax-luk1 33241  ax-luk2 33242  ax-luk3 33243

This theorem is referenced by:  wl-ax2  33264