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Mirrors > Home > ILE Home > Th. List > isoeq5 | Unicode version |
Description: Equality theorem for isomorphisms. (Contributed by NM, 17-May-2004.) |
Ref | Expression |
---|---|
isoeq5 |
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Step | Hyp | Ref | Expression |
---|---|---|---|
1 | f1oeq3 5366 |
. . 3
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2 | 1 | anbi1d 461 |
. 2
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3 | df-isom 5140 |
. 2
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4 | df-isom 5140 |
. 2
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5 | 2, 3, 4 | 3bitr4g 222 |
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 105 ax-ia2 106 ax-ia3 107 ax-5 1424 ax-7 1425 ax-gen 1426 ax-ie1 1470 ax-ie2 1471 ax-8 1483 ax-11 1485 ax-4 1488 ax-17 1507 ax-i9 1511 ax-ial 1515 ax-i5r 1516 ax-ext 2122 |
This theorem depends on definitions: df-bi 116 df-nf 1438 df-sb 1737 df-clab 2127 df-cleq 2133 df-clel 2136 df-in 3082 df-ss 3089 df-f 5135 df-f1 5136 df-fo 5137 df-f1o 5138 df-isom 5140 |
This theorem is referenced by: isores3 5724 ordiso 6929 zfz1isolem1 10615 zfz1iso 10616 |
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