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Mirrors > Home > ILE Home > Th. List > sb6rf | Unicode version |
Description: Reversed substitution. (Contributed by NM, 5-Aug-1993.) (Proof shortened by Andrew Salmon, 25-May-2011.) |
Ref | Expression |
---|---|
sb5rf.1 |
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Ref | Expression |
---|---|
sb6rf |
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Step | Hyp | Ref | Expression |
---|---|---|---|
1 | sb5rf.1 |
. . 3
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2 | sbequ1 1698 |
. . . . 5
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3 | 2 | equcoms 1641 |
. . . 4
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4 | 3 | com12 30 |
. . 3
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5 | 1, 4 | alrimih 1403 |
. 2
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6 | sb2 1697 |
. . 3
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7 | 1 | sbid2h 1777 |
. . 3
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8 | 6, 7 | sylib 120 |
. 2
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9 | 5, 8 | impbii 124 |
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-8 1440 ax-11 1442 ax-4 1445 ax-17 1464 ax-i9 1468 ax-ial 1472 |
This theorem depends on definitions: df-bi 115 df-sb 1693 |
This theorem is referenced by: 2sb6rf 1914 eu1 1973 |
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