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Mirrors > Home > ILE Home > Th. List > ax11a2 | Unicode version |
Description: Derive ax-11o 1795 from a hypothesis in the form of ax-11 1484. The hypothesis is even weaker than ax-11 1484, with both distinct from and not occurring in . Thus the hypothesis provides an alternate axiom that can be used in place of ax11o 1794. (Contributed by NM, 2-Feb-2007.) |
Ref | Expression |
---|---|
ax11a2.1 |
Ref | Expression |
---|---|
ax11a2 |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | ax-17 1506 | . . 3 | |
2 | ax11a2.1 | . . 3 | |
3 | 1, 2 | syl5 32 | . 2 |
4 | 3 | ax11v2 1792 | 1 |
Colors of variables: wff set class |
Syntax hints: wn 3 wi 4 wal 1329 |
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-in2 604 ax-io 698 ax-5 1423 ax-7 1424 ax-gen 1425 ax-ie1 1469 ax-ie2 1470 ax-8 1482 ax-10 1483 ax-11 1484 ax-i12 1485 ax-4 1487 ax-17 1506 ax-i9 1510 ax-ial 1514 |
This theorem depends on definitions: df-bi 116 df-nf 1437 df-sb 1736 |
This theorem is referenced by: ax11o 1794 |
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