Quantum Logic Explorer |
< Previous
Next >
Nearby theorems |
||
Mirrors > Home > QLE Home > Th. List > i3aa | GIF version |
Description: Add antecedent. (Contributed by NM, 7-Nov-1997.) |
Ref | Expression |
---|---|
i3aa.1 | a = 1 |
Ref | Expression |
---|---|
i3aa | (b →3 a) = 1 |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | i31 520 | . 2 (b →3 1) = 1 | |
2 | i3aa.1 | . . . 4 a = 1 | |
3 | 2 | li3 252 | . . 3 (b →3 a) = (b →3 1) |
4 | 3 | bi1 118 | . 2 ((b →3 a) ≡ (b →3 1)) = 1 |
5 | 1, 4 | wwbmpr 206 | 1 (b →3 a) = 1 |
Colors of variables: term |
Syntax hints: = wb 1 1wt 8 →3 wi3 14 |
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 |
This theorem depends on definitions: df-b 39 df-a 40 df-t 41 df-f 42 df-i3 46 df-le1 130 df-le2 131 |
This theorem is referenced by: (None) |
Copyright terms: Public domain | W3C validator |