Theorem jarl 155

Description: Elimination of a nested antecedent as a kind of reversal of inference ja 153. (Contributed by Wolf Lammen, 10-May-2013.)

Assertion

Ref	Expression
jarl	|- (((ph -> ps) -> ch) -> (-. ph -> ch))

Proof of Theorem jarl

Step	Hyp	Ref	Expression
1		pm2.21 100	. 2 |- (-. ph -> (ph -> ps))
2	1	imim1i 54	1 |- (((ph -> ps) -> ch) -> (-. ph -> ch))

Syntax hints:  -. wn 3   -> wi 4

This theorem was proved from axioms:  ax-mp 5  ax-1 6  ax-2 7  ax-3 8

This theorem is referenced by:  pm2.68  399  merco2  1501