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Mirrors > Home > ILE Home > Th. List > foeq3 | Unicode version |
Description: Equality theorem for onto functions. (Contributed by NM, 1-Aug-1994.) |
Ref | Expression |
---|---|
foeq3 |
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Step | Hyp | Ref | Expression |
---|---|---|---|
1 | eqeq2 2199 |
. . 3
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2 | 1 | anbi2d 464 |
. 2
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3 | df-fo 5244 |
. 2
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4 | df-fo 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-gen 1460 ax-4 1521 ax-17 1537 ax-ext 2171 |
This theorem depends on definitions: df-bi 117 df-cleq 2182 df-fo 5244 |
This theorem is referenced by: f1oeq3 5473 foeq123d 5476 resdif 5505 ffoss 5515 fifo 7013 enumct 7148 ctssexmid 7183 exmidfodomrlemr 7236 exmidfodomrlemrALT 7237 qnnen 12493 ctiunctal 12503 unct 12504 quslem 12812 subctctexmid 15237 |
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