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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 1414 |
. 2
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3 | sb2 1723 |
. 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 105 ax-ia2 106 ax-ia3 107 ax-5 1406 ax-gen 1408 ax-ie1 1452 ax-ie2 1453 ax-4 1470 ax-i9 1493 ax-ial 1497 |
This theorem depends on definitions: df-bi 116 df-sb 1719 |
This theorem is referenced by: sbh 1732 sbft 1802 pm13.183 2792 spsbc 2889 |
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