Theorem u5lemc5 682

Description: Commutation theorem for relevance implication.

Hypothesis

Ref	Expression
ulemc3.1	a C b

Assertion

Ref	Expression
u5lemc5	a C (a ->5 b)

Proof of Theorem u5lemc5

Step	Hyp	Ref	Expression
1		u5lemc1 666	1 a C (a ->5 b)

Syntax hints:   C wc 3   ->5 wi5 17

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  ax-r3 421

This theorem depends on definitions:  df-b 38  df-a 39  df-t 40  df-f 41  df-i5 47  df-le1 122  df-le2 123  df-c1 124  df-c2 125

metamath.org