Mathbox for BJ |
< Previous
Next >
Nearby theorems |
||
Mirrors > Home > ILE Home > Th. List > Mathboxes > elabgf2 | Unicode version |
Description: One implication of elabgf 2872. (Contributed by BJ, 21-Nov-2019.) |
Ref | Expression |
---|---|
elabgf2.nf1 | |
elabgf2.nf2 | |
elabgf2.1 |
Ref | Expression |
---|---|
elabgf2 |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | elabgf2.nf1 | . 2 | |
2 | elabgf2.nf2 | . . 3 | |
3 | nfab1 2314 | . . . 4 | |
4 | 1, 3 | nfel 2321 | . . 3 |
5 | 2, 4 | nfim 1565 | . 2 |
6 | elabgf0 13773 | . 2 | |
7 | bicom1 130 | . . 3 | |
8 | elabgf2.1 | . . . 4 | |
9 | biimp 117 | . . . 4 | |
10 | 8, 9 | syl9 72 | . . 3 |
11 | 7, 10 | syl5 32 | . 2 |
12 | 1, 5, 6, 11 | bj-vtoclgf 13772 | 1 |
Colors of variables: wff set class |
Syntax hints: wi 4 wb 104 wceq 1348 wnf 1453 wcel 2141 cab 2156 wnfc 2299 |
This theorem was proved from axioms: ax-mp 5 ax-1 6 ax-2 7 ax-ia1 105 ax-ia2 106 ax-ia3 107 ax-io 704 ax-5 1440 ax-7 1441 ax-gen 1442 ax-ie1 1486 ax-ie2 1487 ax-8 1497 ax-10 1498 ax-11 1499 ax-i12 1500 ax-bndl 1502 ax-4 1503 ax-17 1519 ax-i9 1523 ax-ial 1527 ax-i5r 1528 ax-ext 2152 |
This theorem depends on definitions: df-bi 116 df-tru 1351 df-nf 1454 df-sb 1756 df-clab 2157 df-cleq 2163 df-clel 2166 df-nfc 2301 df-v 2732 |
This theorem is referenced by: elabf2 13778 elabg2 13781 bj-intabssel1 13786 |
Copyright terms: Public domain | W3C validator |