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Theorem tbw-ax1 1766
Description: The first of four axioms in the Tarski-Bernays-Wajsberg system. (Contributed by Anthony Hart, 13-Aug-2011.) (Proof modification is discouraged.) (New usage is discouraged.)
Assertion
Ref Expression
tbw-ax1 ((𝜑𝜓) → ((𝜓𝜒) → (𝜑𝜒)))

Proof of Theorem tbw-ax1
StepHypRef Expression
1 imim1 83 1 ((𝜑𝜓) → ((𝜓𝜒) → (𝜑𝜒)))
Colors of variables: wff setvar class
Syntax hints:  wi 4
This theorem was proved from axioms:  ax-mp 5  ax-1 6  ax-2 7
This theorem is referenced by:  tbwsyl  1770  tbwlem1  1771  tbwlem2  1772  tbwlem3  1773  tbwlem4  1774  tbwlem5  1775  re1luk1  1776  re1luk2  1777  re1luk3  1778
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