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|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 1442 for its constructions.
Here, the axiom is proved as a substitution instance of nic-ax 1444. (Contributed by Anthony Hart, 31-Jul-2011.) (Proof modification is discouraged.) (New usage is discouraged.)
|Colors of variables: wff set class|
|Syntax hints: wnan 1293|
|This theorem is referenced by: lukshefth1 1466 lukshefth2 1467 renicax 1468|
|This theorem was proved from axioms: ax-1 5 ax-2 6 ax-3 7 ax-mp 8|
|This theorem depends on definitions: df-bi 178 df-an 361 df-nan 1294|
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