Theorem ee11 1268

Description: e11 16578 without virtual deductions. sylc 83 is also e11 16578 without virtual deductions, except with a different order of hypotheses. (Contributed by Alan Sare, 8-Jul-2011.)

Hypotheses

Ref	Expression
ee11.1	|- (ph -> ps)
ee11.2	|- (ph -> ch)
ee11.3	|- (ps -> (ch -> th))

Assertion

Ref	Expression
ee11	|- (ph -> th)

Proof of Theorem ee11

Step	Hyp	Ref	Expression
1		ee11.1	. 2 |- (ph -> ps)
2		ee11.2	. 2 |- (ph -> ch)
3		ee11.3	. 2 |- (ps -> (ch -> th))
4	1, 2, 3	sylc 83	1 |- (ph -> th)

Syntax hints:   -> wi 3

This theorem is referenced by:  ordelordaxr 5833  ordsucuniel 13863  ee11an 16580  ee01 16582  ee10 16586  pmod 17311

This theorem was proved from axioms:  ax-1 4  ax-2 5  ax-mp 7

Copyright terms: Public domain