Theorem tbw-ax4 1628

Description: The fourth of four axioms in the Tarski-Bernays-Wajsberg system.

This axiom was added to the Tarski-Bernays axiom system (see tb-ax1 32378, tb-ax2 32379, and tb-ax3 32380) by Wajsberg for completeness. (Contributed by Anthony Hart, 13-Aug-2011.) (Proof modification is discouraged.) (New usage is discouraged.)

Assertion

Ref	Expression
tbw-ax4	|- ( F. -> ph )

Proof of Theorem tbw-ax4

Step	Hyp	Ref	Expression
1		falim 1498	1 |- ( F. -> ph )

Syntax hints:   -> wi 4   F. wfal 1488

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 197  df-tru 1486  df-fal 1489

This theorem is referenced by:  tbwlem2  1631  tbwlem4  1633  re1luk3  1637