Theorem orim1d 437

Description: Disjoin antecedents and consequents in a deduction.

Hypothesis

Ref	Expression
orim1d.1	|- (ph -> (ps -> ch))

Assertion

Ref	Expression
orim1d	|- (ph -> ((ps \/ th) -> (ch \/ th)))

Proof of Theorem orim1d

Step	Hyp	Ref	Expression
1		orim1d.1	. 2 |- (ph -> (ps -> ch))
2		idd 11	. 2 |- (ph -> (th -> th))
3	1, 2	orim12d 436	1 |- (ph -> ((ps \/ th) -> (ch \/ th)))

Syntax hints:   -> wi 2   \/ wo 195

This theorem is referenced by:  moeq3 1432  unss1 1627  ordtri2or2 2329

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

This theorem depends on definitions:  df-bi 128  df-or 197  df-an 198

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