Theorem bina1 282

Description: Pavicic binary logic ax-a1 analog. (Contributed by NM, 5-Nov-1997.)

Assertion

Ref	Expression
bina1	(a →3 a⊥ ⊥ ) = 1

Proof of Theorem bina1

Step	Hyp	Ref	Expression
1		i3id 251	. 2 (a →3 a) = 1
2		ax-a1 30	. . . 4 a = a⊥ ⊥
3	2	li3 252	. . 3 (a →3 a) = (a →3 a⊥ ⊥ )
4	3	bi1 118	. 2 ((a →3 a) ≡ (a →3 a⊥ ⊥ )) = 1
5	1, 4	wwbmp 205	1 (a →3 a⊥ ⊥ ) = 1

Syntax hints:   = wb 1  ^⊥ wn 4  1wt 8   →₃ wi3 14

This theorem was proved from axioms:  ax-a1 30  ax-a2 31  ax-a4 33  ax-a5 34  ax-r1 35  ax-r2 36  ax-r4 37  ax-r5 38

This theorem depends on definitions:  df-b 39  df-a 40  df-t 41  df-f 42  df-i3 46

This theorem is referenced by: (None)