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Mirrors > Home > NFE Home > Th. List > hboprab3 | Unicode version |
Description: The abstraction variables in an operation class abstraction are not free. (Contributed by set.mm contributors, 22-Aug-2013.) |
Ref | Expression |
---|---|
hboprab3 |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | df-oprab 5528 | . 2 | |
2 | hbe1 1731 | . . . . 5 | |
3 | 2 | hbex 1841 | . . . 4 |
4 | 3 | hbex 1841 | . . 3 |
5 | 4 | hbab 2344 | . 2 |
6 | 1, 5 | hbxfreq 2456 | 1 |
Colors of variables: wff setvar class |
Syntax hints: wi 4 wa 358 wal 1540 wex 1541 wceq 1642 wcel 1710 cab 2339 cop 4561 coprab 5527 |
This theorem was proved from axioms: ax-1 5 ax-2 6 ax-3 7 ax-mp 8 ax-gen 1546 ax-5 1557 ax-17 1616 ax-9 1654 ax-8 1675 ax-6 1729 ax-7 1734 ax-11 1746 ax-12 1925 ax-ext 2334 |
This theorem depends on definitions: df-bi 177 df-an 360 df-tru 1319 df-ex 1542 df-nf 1545 df-sb 1649 df-clab 2340 df-cleq 2346 df-clel 2349 df-oprab 5528 |
This theorem is referenced by: (None) |
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