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Theorem nic-stdmp 1523
Description: Derive the standard modus ponens from nic-mp 1504. (Contributed by Jeff Hoffman, 18-Nov-2007.) (Proof modification is discouraged.) (New usage is discouraged.)
Hypotheses
Ref Expression
nic-smin
nic-smaj
Assertion
Ref Expression
nic-stdmp

Proof of Theorem nic-stdmp
StepHypRef Expression
1 nic-smin . 2
2 nic-smaj . . 3
3 nic-dfim 1502 . . . 4
43nic-bi2 1522 . . 3
52, 4nic-mp 1504 . 2
61, 5nic-mp 1504 1
Colors of variables: wff setvar class
Syntax hints:  ->wi 4  -/\wnan 1343
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 185  df-or 370  df-an 371  df-nan 1344
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