Intuitionistic Logic Explorer |
< Previous
Next >
Nearby theorems |
||
Mirrors > Home > ILE Home > Th. List > ax16ALT | Unicode version |
Description: Version of ax16 1769 that doesn't require ax-10 1468 or ax-12 1474 for its proof. (Contributed by NM, 17-May-2008.) (Proof modification is discouraged.) (New usage is discouraged.) |
Ref | Expression |
---|---|
ax16ALT |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | sbequ12 1729 | . 2 | |
2 | ax-17 1491 | . . 3 | |
3 | 2 | hbsb3 1764 | . 2 |
4 | 1, 3 | ax16i 1814 | 1 |
Colors of variables: wff set class |
Syntax hints: wi 4 wal 1314 wsb 1720 |
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-5 1408 ax-7 1409 ax-gen 1410 ax-ie1 1454 ax-ie2 1455 ax-8 1467 ax-11 1469 ax-4 1472 ax-17 1491 ax-i9 1495 ax-ial 1499 |
This theorem depends on definitions: df-bi 116 df-nf 1422 df-sb 1721 |
This theorem is referenced by: dvelimALT 1963 dvelimfv 1964 |
Copyright terms: Public domain | W3C validator |