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Theorem nic-mpALT 1437
Description: A direct proof of nic-mp 1436. (Contributed by NM, 30-Dec-2008.) (Proof modification is discouraged.) (New usage is discouraged.)
Hypotheses
Ref Expression
nic-jmin
nic-jmaj
Assertion
Ref Expression
nic-mpALT

Proof of Theorem nic-mpALT
StepHypRef Expression
1 nic-jmin . 2
2 nic-jmaj . . . . 5
3 df-nan 1288 . . . . . 6
4 df-nan 1288 . . . . . . 7
54anbi2i 675 . . . . . 6
63, 5xchbinx 301 . . . . 5
72, 6mpbi 199 . . . 4
8 iman 413 . . . 4
97, 8mpbir 200 . . 3
109simprd 449 . 2
111, 10ax-mp 5 1
Colors of variables: wff setvar class
Syntax hints:   wn 3   wi 4   wa 358   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: (None)
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