Theorem ud3lem0a 252

Description: Introduce Kalmbach implication to the left.

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 244	1 (c →3 a) = (c →3 b)

Syntax hints:   = wb 1   →₃ wi3 15

This theorem is referenced by:  nom44 321  ud3 579  u3lem11a 769  u3lem14a 773  u3lem14aa 774  u3lem14aa2 775

This theorem was proved from axioms:  ax-a2 30  ax-r1 34  ax-r2 35  ax-r4 36  ax-r5 37

This theorem depends on definitions:  df-a 39  df-i3 45

metamath.org