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Theorem merco2 1569
Description: A single axiom for propositional calculus offered by Meredith.

This axiom has 19 symbols, sans auxiliaries. See notes in merco1 1546. (Contributed by Anthony Hart, 7-Aug-2011.) (Proof modification is discouraged.) (New usage is discouraged.)

Assertion
Ref Expression
merco2

Proof of Theorem merco2
StepHypRef Expression
1 falim 1409 . . . . . 6
2 pm2.04 82 . . . . . 6
31, 2mpi 17 . . . . 5
4 jarl 163 . . . . . 6
5 idd 24 . . . . . 6
64, 5jad 162 . . . . 5
7 looinv 182 . . . . 5
83, 6, 73syl 20 . . . 4
98a1dd 46 . . 3
109a1i 11 . 2
1110com4l 84 1
Colors of variables: wff setvar class
Syntax hints:  ->wi 4   wfal 1400
This theorem is referenced by:  mercolem1  1570  mercolem2  1571  mercolem3  1572  mercolem4  1573  mercolem5  1574  mercolem6  1575  mercolem7  1576  mercolem8  1577  re1tbw4  1581
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-tru 1398  df-fal 1401
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