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Theorem nic-idel 1449
Description: Inference to remove the trailing term. (Contributed by Jeff Hoffman, 17-Nov-2007.) (Proof modification is discouraged.) (New usage is discouraged.)
Hypothesis
Ref Expression
nic-idel.1 (φ (χ ψ))
Assertion
Ref Expression
nic-idel (φ (χ χ))

Proof of Theorem nic-idel
StepHypRef Expression
1 nic-id 1443 . . 3 (χ (χ χ))
21nic-isw1 1445 . 2 ((χ χ) χ)
3 nic-idel.1 . . 3 (φ (χ ψ))
43nic-imp 1440 . 2 (((χ χ) χ) ((φ (χ χ)) (φ (χ χ))))
52, 4nic-mp 1436 1 (φ (χ χ))
Colors of variables: wff setvar class
Syntax hints:   wnan 1287
This theorem was proved from axioms:  ax-mp 5  ax-1 6  ax-2 7  ax-3 8
This theorem depends on definitions:  df-bi 177  df-an 360  df-nan 1288
This theorem is referenced by:  nic-bi1  1453  nic-bi2  1454  nic-luk1  1456
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