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Theorem nic-idel 1250
Description: Inference to remove the trailing term. (Contributed by Jeff Hoffman, 17-Nov-2007.)
Hypothesis
Ref Expression
nic-idel.1 |- (ph -/\ (ch -/\ ps))
Assertion
Ref Expression
nic-idel |- (ph -/\ (ch -/\ ch))

Proof of Theorem nic-idel
StepHypRef Expression
1 nic-id 1244 . . 3 |- (ch -/\ (ch -/\ ch))
21nic-isw1 1246 . 2 |- ((ch -/\ ch) -/\ ch)
3 nic-idel.1 . . 3 |- (ph -/\ (ch -/\ ps))
43nic-imp 1241 . 2 |- (((ch -/\ ch) -/\ ch) -/\ ((ph -/\ (ch -/\ ch)) -/\ (ph -/\ (ch -/\ ch))))
52, 4nic-mp 1237 1 |- (ph -/\ (ch -/\ ch))
Colors of variables: wff set class
Syntax hints:   -/\ wnand 1229
This theorem is referenced by:  nic-bi1 1254  nic-bi2 1255  nic-luk1 1257
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  df-nand 1230
Copyright terms: Public domain