Theorem nic-bijust 1452

Description: For nic-* definitions, the biconditional connective is not used. Instead, definitions are made based on this form. nic-bi1 1453 and nic-bi2 1454 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	⊢ ((τ ⊼ τ) ⊼ ((τ ⊼ τ) ⊼ (τ ⊼ τ)))

Proof of Theorem nic-bijust

Step	Hyp	Ref	Expression
1		nic-swap 1444	1 ⊢ ((τ ⊼ τ) ⊼ ((τ ⊼ τ) ⊼ (τ ⊼ τ)))

Syntax hints:   ⊼ wnan 1287

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 177  df-an 360  df-nan 1288

This theorem is referenced by: (None)