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Theorem merco2 1501
Description: A single axiom for propositional calculus offered by Meredith.

This axiom has 19 symbols, sans auxiliaries. See notes in merco1 1478. (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 1328 . . . . . 6
2 pm2.04 76 . . . . . 6
31, 2mpi 16 . . . . 5
4 jarl 155 . . . . . 6
5 idd 21 . . . . . 6
64, 5jad 154 . . . . 5
7 looinv 174 . . . . 5
83, 6, 73syl 18 . . . 4
98a1dd 42 . . 3
109a1i 10 . 2
1110com4l 78 1
Colors of variables: wff setvar class
Syntax hints:   wi 4   wfal 1317
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-tru 1319  df-fal 1320
This theorem is referenced by:  mercolem1  1502  mercolem2  1503  mercolem3  1504  mercolem4  1505  mercolem5  1506  mercolem6  1507  mercolem7  1508  mercolem8  1509  re1tbw4  1513
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