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| Description: Re-derivation of ax-6 953 from ax467 997. Note that ax-6 953 and ax-7 954 are not used by the re-derivation. The use of 19.20i 968 (which uses ax-4 951) is allowed since we have already proved ax467to4 998. |
| Ref | Expression |
|---|---|
| ax467to6 |
     
  |
| Step | Hyp | Ref | Expression |
|---|---|---|---|
| 1 | ax467to4 998 |
. . . 4
| |
| 2 | hba1 979 |
. . . . . 6
| |
| 3 | 2 | con3i 98 |
. . . . 5
|
| 4 | 3 | 19.20i 968 |
. . . 4
|
| 5 | 1, 4 | syl 10 |
. . 3
|
| 6 | 5 | con3i 98 |
. 2
|
| 7 | pm2.21 76 |
. 2
| |
| 8 | ax467 997 |
. 2
| |
| 9 | 6, 7, 8 | 3syl 20 |
1
|
| Colors of variables: wff set class |
| Syntax hints: wn 2
wi 3
wal 950 |
| This theorem is referenced by: ax467to7 1000 |
| This theorem was proved from axioms: ax-1 4 ax-2 5 ax-3 6 ax-mp 7 ax-4 951 ax-5 952 ax-6 953 ax-7 954 ax-gen 955 |