Theorem wddi-0 1114

Description: The weak distributive law in WDOL.

Assertion

Ref	Expression
wddi-0	((a ^ (b v c)) ==0 ((a ^ b) v (a ^ c))) = 1

Proof of Theorem wddi-0

Step	Hyp	Ref	Expression
1		wddi1 1104	. 2 ((a ^ (b v c)) == ((a ^ b) v (a ^ c))) = 1
2	1	id5id0 352	1 ((a ^ (b v c)) ==0 ((a ^ b) v (a ^ c))) = 1

Syntax hints:   = wb 1   v wo 6   ^ wa 7  1wt 8   ==0 wid0 17

This theorem is referenced by:  wddi-1 1115  wddi-2 1116  wddi-3 1117  wddi-4 1118

This theorem was proved from axioms:  ax-a1 30  ax-a2 31  ax-a3 32  ax-a4 33  ax-a5 34  ax-r1 35  ax-r2 36  ax-r4 37  ax-r5 38  ax-wom 361  ax-wdol 1101

This theorem depends on definitions:  df-b 39  df-a 40  df-t 41  df-f 42  df-i1 44  df-i2 45  df-id0 49  df-le 129  df-le1 130  df-le2 131  df-cmtr 134

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