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Mirrors > Home > ILE Home > Th. List > f1eq2 | Unicode version |
Description: Equality theorem for one-to-one functions. (Contributed by NM, 10-Feb-1997.) |
Ref | Expression |
---|---|
f1eq2 |
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Step | Hyp | Ref | Expression |
---|---|---|---|
1 | feq2 5368 |
. . 3
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2 | 1 | anbi1d 465 |
. 2
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3 | df-f1 5240 |
. 2
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4 | df-f1 5240 |
. 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-gen 1460 ax-4 1521 ax-17 1537 ax-ext 2171 |
This theorem depends on definitions: df-bi 117 df-cleq 2182 df-fn 5238 df-f 5239 df-f1 5240 |
This theorem is referenced by: f1oeq2 5469 f1eq123d 5472 brdomg 6773 ennnfonelemen 12471 |
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