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| Description: Deduction form of bound-variable hypothesis builder hbab 1503. |
| Ref | Expression |
|---|---|
| hbabd.1 |
|
| hbabd.2 |
|
| Ref | Expression |
|---|---|
| hbabd |
|
| Step | Hyp | Ref | Expression |
|---|---|---|---|
| 1 | hbabd.1 |
. . . . 5
| |
| 2 | ax-7 994 |
. . . . 5
| |
| 3 | 1, 2 | syl 10 |
. . . 4
|
| 4 | hbabd.2 |
. . . . 5
| |
| 5 | 4 | 19.20i2 1025 |
. . . 4
|
| 6 | hbsb4t 1282 |
. . . 4
| |
| 7 | 3, 5, 6 | 3syl 20 |
. . 3
|
| 8 | ax-16 1243 |
. . 3
| |
| 9 | 7, 8 | pm2.61d2 127 |
. 2
|
| 10 | df-clab 1500 |
. 2
| |
| 11 | 10 | albii 1031 |
. 2
|
| 12 | 9, 10, 11 | 3imtr4g 555 |
1
|
| Colors of variables: wff set class |
| Syntax hints: |
| This theorem is referenced by: hbcsb1g 2067 hbcsbg 2069 |
| This theorem was proved from axioms: ax-1 4 ax-2 5 ax-3 6 ax-mp 7 ax-7 994 ax-gen 995 ax-8 996 ax-10 998 ax-12 1000 ax-4 1005 ax-5o 1007 ax-6o 1010 ax-9o 1155 ax-10o 1173 ax-16 1243 ax-11o 1251 |
| This theorem depends on definitions: df-bi 145 df-an 223 df-ex 1013 df-sb 1205 df-clab 1500 |