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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 5470 |
. . 3
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2 | 1 | anbi1d 465 |
. 2
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3 | df-isom 5244 |
. 2
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4 | df-isom 5244 |
. 2
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5 | 2, 3, 4 | 3bitr4g 223 |
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 ax-i5r 1546 ax-ext 2171 |
This theorem depends on definitions: df-bi 117 df-nf 1472 df-sb 1774 df-clab 2176 df-cleq 2182 df-clel 2185 df-in 3150 df-ss 3157 df-f 5239 df-f1 5240 df-fo 5241 df-f1o 5242 df-isom 5244 |
This theorem is referenced by: isores3 5837 ordiso 7065 zfz1isolem1 10852 zfz1iso 10853 |
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