Theorem nic-bijust 1612

Description: Biconditional justification from Nicod's axiom. For nic-* definitions, the biconditional connective is not used. Instead, definitions are made based on this form. nic-bi1 1613 and nic-bi2 1614 are used to convert the definitions into usable theorems about one side of the implication. (Contributed by Jeff Hoffman, 18-Nov-2007.) (Proof modification is discouraged.) (New usage is discouraged.)

Assertion

Ref	Expression
nic-bijust	|- ( ( ta -/\ ta ) -/\ ( ( ta -/\ ta ) -/\ ( ta -/\ ta ) ) )

Proof of Theorem nic-bijust

Step	Hyp	Ref	Expression
1		nic-swap 1604	1 |- ( ( ta -/\ ta ) -/\ ( ( ta -/\ ta ) -/\ ( ta -/\ ta ) ) )

Syntax hints:   -/\ wnan 1447

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 197  df-an 386  df-nan 1448

This theorem is referenced by: (None)