Theorem wl-impchain-com-2.3 33279

Description: This theorem is in fact a copy of com23 86. It starts a series of theorems named after wl-impchain-com-n.m 33278. For more information see there. (Contributed by Wolf Lammen, 12-Nov-2019.) (New usage is discouraged.) (Proof modification is discouraged.)

Hypothesis

Ref	Expression
wl-impchain-com-2.3.h1	|- ( th -> ( ch -> ( ps -> ph ) ) )

Assertion

Ref	Expression
wl-impchain-com-2.3	|- ( th -> ( ps -> ( ch -> ph ) ) )

Proof of Theorem wl-impchain-com-2.3

Step	Hyp	Ref	Expression
1		wl-impchain-com-2.3.h1	. . . 4 |- ( th -> ( ch -> ( ps -> ph ) ) )
2	1	wl-impchain-com-1.2 33275	. . 3 |- ( ch -> ( th -> ( ps -> ph ) ) )
3	2	wl-impchain-com-1.3 33276	. 2 |- ( ps -> ( th -> ( ch -> ph ) ) )
4	3	wl-impchain-com-1.2 33275	1 |- ( th -> ( ps -> ( ch -> ph ) ) )

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-impchain-com-3.2.1  33281  wl-impchain-a1-3  33285