Theorem lem3.3.7i3e3 1068

Description: Equation 3.7 of [PavMeg1999] p. 9. The variable i in the paper is set to 3, and this is the third part of the equation. (Contributed by Roy F. Longton, 28-Jun-2005.) (Revised by Roy F. Longton, 3-Jul-2005.)

Assertion

Ref	Expression
lem3.3.7i3e3	(a →3 (a ∩ b)) = (a →1 b)

Proof of Theorem lem3.3.7i3e3

Step	Hyp	Ref	Expression
1		nom13 310	1 (a →3 (a ∩ b)) = (a →1 b)

Syntax hints:   = wb 1   ∩ wa 7   →₁ wi1 12   →₃ wi3 14

This theorem was proved from axioms:  ax-a1 30  ax-a2 31  ax-a3 32  ax-a5 34  ax-r1 35  ax-r2 36  ax-r4 37  ax-r5 38

This theorem depends on definitions:  df-a 40  df-t 41  df-f 42  df-i1 44  df-i3 46  df-le1 130  df-le2 131

This theorem is referenced by: (None)