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Mirrors > Home > ILE Home > Th. List > stdpc4 | Unicode version |
Description: The specialization axiom
of standard predicate calculus. It states that
if a statement ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() |
Ref | Expression |
---|---|
stdpc4 |
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Step | Hyp | Ref | Expression |
---|---|---|---|
1 | ax-1 5 |
. . 3
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2 | 1 | alimi 1389 |
. 2
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3 | sb2 1697 |
. 2
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4 | 2, 3 | syl 14 |
1
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Colors of variables: wff set class |
Syntax hints: ![]() ![]() ![]() |
This theorem was proved from axioms: ax-1 5 ax-2 6 ax-mp 7 ax-ia1 104 ax-ia2 105 ax-ia3 106 ax-5 1381 ax-gen 1383 ax-ie1 1427 ax-ie2 1428 ax-4 1445 ax-i9 1468 ax-ial 1472 |
This theorem depends on definitions: df-bi 115 df-sb 1693 |
This theorem is referenced by: sbh 1706 sbft 1776 pm13.183 2754 spsbc 2851 |
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