Table of ContentsTable of Contents Mathbox for Anthony Hart < Previous   Next >
Related theorems
Unicode version

Theorem tbw-ax1 15114
Description: The first of four axioms in the Tarski-Bernays-Wajsberg system.
Assertion
Ref Expression
tbw-ax1 |- ((ph -> ps) -> ((ps -> ch) -> (ph -> ch)))

Proof of Theorem tbw-ax1
StepHypRef Expression
1 imim1 58 1 |- ((ph -> ps) -> ((ps -> ch) -> (ph -> ch)))
Colors of variables: wff set class
Syntax hints:   -> wi 3
This theorem is referenced by:  tbwsyl 15118  tbwlem1 15119  tbwlem2 15120  tbwlem3 15121  tbwlem4 15122  tbwlem5 15123  re1luk1 15124  re1luk2 15125  re1luk3 15126
This theorem was proved from axioms:  ax-1 4  ax-2 5  ax-mp 7
Copyright terms: Public domain