Theorem i3aa 503

Description: Add antecedent.

Hypothesis

Ref	Expression
i3aa.1	a = 1

Assertion

Ref	Expression
i3aa	(b ->3 a) = 1

Proof of Theorem i3aa

Step	Hyp	Ref	Expression
1		i31 502	. 2 (b ->3 1) = 1
2		i3aa.1	. . . 4 a = 1
3	2	li3 244	. . 3 (b ->3 a) = (b ->3 1)
4	3	bi1 110	. 2 ((b ->3 a) == (b ->3 1)) = 1
5	1, 4	wwbmpr 198	1 (b ->3 a) = 1

Syntax hints:   = wb 1  1wt 9   ->3 wi3 15

This theorem was proved from axioms:  ax-a1 29  ax-a2 30  ax-a3 31  ax-a4 32  ax-a5 33  ax-r1 34  ax-r2 35  ax-r4 36  ax-r5 37

This theorem depends on definitions:  df-b 38  df-a 39  df-t 40  df-f 41  df-i3 45  df-le1 122  df-le2 123

metamath.org