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Mirrors > Home > ILE Home > Th. List > ax11o | Unicode version |
Description: Derivation of set.mm's
original ax-11o 1816 from the shorter ax-11 1499 that
has replaced it.
An open problem is whether this theorem can be proved without relying on ax-16 1807 or ax-17 1519. Normally, ax11o 1815 should be used rather than ax-11o 1816, except by theorems specifically studying the latter's properties. (Contributed by NM, 3-Feb-2007.) |
Ref | Expression |
---|---|
ax11o |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | ax-11 1499 | . 2 | |
2 | 1 | ax11a2 1814 | 1 |
Colors of variables: wff set class |
Syntax hints: wn 3 wi 4 wal 1346 |
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 610 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-4 1503 ax-17 1519 ax-i9 1523 ax-ial 1527 |
This theorem depends on definitions: df-bi 116 df-nf 1454 df-sb 1756 |
This theorem is referenced by: ax11b 1819 equs5 1822 |
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