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Mirrors > Home > ILE Home > Th. List > f1orel | Unicode version |
Description: A one-to-one onto mapping is a relation. (Contributed by NM, 13-Dec-2003.) |
Ref | Expression |
---|---|
f1orel |
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Step | Hyp | Ref | Expression |
---|---|---|---|
1 | f1ofun 5377 |
. 2
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2 | funrel 5148 |
. 2
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3 | 1, 2 | syl 14 |
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 105 |
This theorem depends on definitions: df-bi 116 df-fun 5133 df-fn 5134 df-f 5135 df-f1 5136 df-f1o 5138 |
This theorem is referenced by: f1ococnv1 5404 isores1 5723 ssenen 6753 dif1en 6781 |
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