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Mirrors > Home > MPE Home > Th. List > lukshefax1  Unicode version 
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 nicmp 1426 for its constructions. Here, the axiom is proved as a substitution instance of nicax 1428. (Contributed by Anthony Hart, 31Jul2011.) (Proof modification is discouraged.) (New usage is discouraged.) 
Ref  Expression 

lukshefax1 
Step  Hyp  Ref  Expression 

1  nicax 1428  1 
Colors of variables: wff set class 
Syntax hints: wnan 1287 
This theorem is referenced by: lukshefth1 1450 lukshefth2 1451 renicax 1452 
This theorem was proved from axioms: ax1 5 ax2 6 ax3 7 axmp 8 
This theorem depends on definitions: dfbi 177 dfan 360 dfnan 1288 
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