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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 4974 |
. . 3
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2 | 1 | anbi1d 438 |
. 2
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3 | df-f1 4850 |
. 2
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4 | df-f1 4850 |
. 2
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5 | 2, 3, 4 | 3bitr4g 212 |
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 99 ax-ia2 100 ax-ia3 101 ax-5 1333 ax-gen 1335 ax-4 1397 ax-17 1416 ax-ext 2019 |
This theorem depends on definitions: df-bi 110 df-cleq 2030 df-fn 4848 df-f 4849 df-f1 4850 |
This theorem is referenced by: f1oeq2 5061 f1eq123d 5064 brdomg 6165 |
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