Theorem ud3lem0a 260

Description: Introduce Kalmbach implication to the left. (Contributed by NM, 23-Nov-1997.)

Hypothesis

Ref	Expression
ud3lem0a.1	a = b

Assertion

Ref	Expression
ud3lem0a	(c →3 a) = (c →3 b)

Proof of Theorem ud3lem0a

Step	Hyp	Ref	Expression
1		ud3lem0a.1	. 2 a = b
2	1	li3 252	1 (c →3 a) = (c →3 b)

Syntax hints:   = wb 1   →₃ wi3 14

This theorem was proved from axioms:  ax-a2 31  ax-r1 35  ax-r2 36  ax-r4 37  ax-r5 38

This theorem depends on definitions:  df-a 40  df-i3 46

This theorem is referenced by:  nom44  329  ud3  597  u3lem11a  787  u3lem14a  791  u3lem14aa  792  u3lem14aa2  793