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Mirrors > Home > ILE Home > Th. List > ax16ALT | Unicode version |
Description: Version of ax16 1824 that does not require ax-10 1516 or ax12 1523 for its proof. (Contributed by NM, 17-May-2008.) (Proof modification is discouraged.) (New usage is discouraged.) |
Ref | Expression |
---|---|
ax16ALT |
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Step | Hyp | Ref | Expression |
---|---|---|---|
1 | sbequ12 1782 |
. 2
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2 | ax-17 1537 |
. . 3
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3 | 2 | hbsb3 1819 |
. 2
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4 | 1, 3 | ax16i 1869 |
1
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Colors of variables: wff set class |
Syntax hints: ![]() ![]() ![]() |
This theorem was proved from axioms: ax-mp 5 ax-1 6 ax-2 7 ax-ia1 106 ax-ia2 107 ax-ia3 108 ax-5 1458 ax-7 1459 ax-gen 1460 ax-ie1 1504 ax-ie2 1505 ax-8 1515 ax-11 1517 ax-4 1521 ax-17 1537 ax-i9 1541 ax-ial 1545 |
This theorem depends on definitions: df-bi 117 df-nf 1472 df-sb 1774 |
This theorem is referenced by: dvelimALT 2022 dvelimfv 2023 |
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