Theorem wl-impchain-a1-3 33285

Description: Inference rule, a copy of a1dd 50. A recursive proof depending on previous instances, and demonstrating the proof pattern. (Contributed by Wolf Lammen, 20-Jun-2020.) (New usage is discouraged.) (Proof modification is discouraged.)

Hypothesis

Ref	Expression
wl-impchain-a1-3.a	|- ( ph -> ( ps -> ch ) )

Assertion

Ref	Expression
wl-impchain-a1-3	|- ( ph -> ( ps -> ( th -> ch ) ) )

Proof of Theorem wl-impchain-a1-3

Step	Hyp	Ref	Expression
1		wl-impchain-a1-3.a	. . 3 |- ( ph -> ( ps -> ch ) )
2	1	wl-impchain-a1-2 33284	. 2 |- ( ph -> ( th -> ( ps -> ch ) ) )
3	2	wl-impchain-com-2.3 33279	1 |- ( ph -> ( ps -> ( th -> ch ) ) )

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: (None)