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Mirrors > Home > ILE Home > Th. List > f1oeq23 | Unicode version |
Description: Equality theorem for one-to-one onto functions. (Contributed by FL, 14-Jul-2012.) |
Ref | Expression |
---|---|
f1oeq23 |
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Step | Hyp | Ref | Expression |
---|---|---|---|
1 | f1oeq2 5481 |
. 2
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2 | f1oeq3 5482 |
. 2
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3 | 1, 2 | sylan9bb 462 |
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 2175 |
This theorem depends on definitions: df-bi 117 df-nf 1472 df-sb 1774 df-clab 2180 df-cleq 2186 df-clel 2189 df-in 3159 df-ss 3166 df-fn 5249 df-f 5250 df-f1 5251 df-fo 5252 df-f1o 5253 |
This theorem is referenced by: seqf1og 10582 zfz1isolem1 10901 |
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