Theorem bnj1051 12890

Description: First-order logic and set theory.

Hypothesis

Ref	Expression
bnj1051.1	|- (ph -> (ps -> ch))

Assertion

Ref	Expression
bnj1051	|- ((ps -> ph) -> (ps -> ch))

Proof of Theorem bnj1051

Step	Hyp	Ref	Expression
1		bnj1051.1	. 2 |- (ph -> (ps -> ch))
2		id 73	. 2 |- (ps -> ps)
3	1, 2	bnj1050 12889	1 |- ((ps -> ph) -> (ps -> ch))

Syntax hints:   -> wi 3

This theorem is referenced by:  bnj1533 13182

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

Copyright terms: Public domain