Theorem ee02 1377

Description: e02 in set.mm without virtual deductions. (Contributed by Alan Sare, 22-Jul-2012.) (New usage is discouraged.) TODO: decide if this is worth keeping.

Hypotheses

Ref	Expression
ee02.1	|- ph
ee02.2	|- (ps -> (ch -> th))
ee02.3	|- (ph -> (th -> ta))

Assertion

Ref	Expression
ee02	|- (ps -> (ch -> ta))

Proof of Theorem ee02

Step	Hyp	Ref	Expression
1		ee02.1	. . 3 |- ph
2	1	a1i 10	. 2 |- (ps -> ph)
3		ee02.2	. 2 |- (ps -> (ch -> th))
4		ee02.3	. 2 |- (ph -> (th -> ta))
5	2, 3, 4	sylsyld 52	1 |- (ps -> (ch -> ta))

Syntax hints:   -> wi 4

This theorem was proved from axioms:  ax-mp 5  ax-1 6  ax-2 7

This theorem is referenced by:  fvopab3ig  5387