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Theorem plvcofphax 38407
 Description: Given, a,b,d, and "definitions" for c, e, f, g: g is demonstrated. (Contributed by Jarvin Udandy, 8-Sep-2020.)
Hypotheses
Ref Expression
plvcofphax.1
plvcofphax.2
plvcofphax.3
plvcofphax.4
plvcofphax.5
plvcofphax.6
plvcofphax.7
Assertion
Ref Expression
plvcofphax

Proof of Theorem plvcofphax
StepHypRef Expression
1 plvcofphax.5 . . . . 5
2 plvcofphax.2 . . . . . 6
3 plvcofphax.4 . . . . . 6
4 plvcofphax.1 . . . . . . 7
54, 3, 1plcofph 38404 . . . . . 6
6 plvcofphax.6 . . . . . 6
72, 3, 1, 5, 6pldofph 38405 . . . . 5
81, 7pm3.2i 456 . . . 4
9 pm3.4 563 . . . 4
108, 9ax-mp 5 . . 3
11 iman 425 . . . 4
1211biimpi 197 . . 3
1310, 12ax-mp 5 . 2
14 plvcofphax.7 . . . 4
1514bicomi 205 . . 3
1615biimpi 197 . 2
1713, 16ax-mp 5 1
 Colors of variables: wff setvar class Syntax hints:   wn 3   wi 4   wb 187   wa 370   w3a 982 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 188  df-an 372  df-3an 984 This theorem is referenced by: (None)
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