Theorem ee20an 16597

Description: e20an 16596 without virtual deductions.

Hypotheses

Ref	Expression
ee20an.1	|- (ph -> (ps -> ch))
ee20an.2	|- th
ee20an.3	|- ((ch /\ th) -> ta)

Assertion

Ref	Expression
ee20an	|- (ph -> (ps -> ta))

Proof of Theorem ee20an

Step	Hyp	Ref	Expression
1		ee20an.1	. 2 |- (ph -> (ps -> ch))
2		ee20an.2	. 2 |- th
3		ee20an.3	. . 3 |- ((ch /\ th) -> ta)
4	3	ex 402	. 2 |- (ch -> (th -> ta))
5	1, 2, 4	syl6mpi 68	1 |- (ph -> (ps -> ta))

Syntax hints:   -> wi 3   /\ wa 240

This theorem was proved from axioms:  ax-1 4  ax-2 5  ax-3 6  ax-mp 7

This theorem depends on definitions:  df-bi 164  df-an 242

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