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Theorem lukshef-ax1 1527
Description: This alternative axiom for propositional calculus using the Sheffer Stroke was offered by Lukasiewicz in his Selected Works. It improves on Nicod's axiom by reducing its number of variables by one.

This axiom also uses nic-mp 1504 for its constructions.

Here, the axiom is proved as a substitution instance of nic-ax 1506. (Contributed by Anthony Hart, 31-Jul-2011.) (Proof modification is discouraged.) (New usage is discouraged.)

Ref Expression

Proof of Theorem lukshef-ax1
StepHypRef Expression
1 nic-ax 1506 1
Colors of variables: wff setvar class
Syntax hints:  -/\wnan 1343
This theorem is referenced by:  lukshefth1  1528  lukshefth2  1529  renicax  1530
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 185  df-an 371  df-nan 1344
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