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Mirrors > Home > ILE Home > Th. List > f1oeq2d | Unicode version |
Description: Equality deduction for one-to-one onto functions. (Contributed by Glauco Siliprandi, 17-Aug-2020.) |
Ref | Expression |
---|---|
f1oeq2d.1 |
Ref | Expression |
---|---|
f1oeq2d |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | f1oeq2d.1 | . 2 | |
2 | f1oeq2 5365 | . 2 | |
3 | 1, 2 | syl 14 | 1 |
Colors of variables: wff set class |
Syntax hints: wi 4 wb 104 wceq 1332 wf1o 5130 |
This theorem was proved from axioms: ax-mp 5 ax-1 6 ax-2 7 ax-ia1 105 ax-ia2 106 ax-ia3 107 ax-5 1424 ax-gen 1426 ax-4 1488 ax-17 1507 ax-ext 2122 |
This theorem depends on definitions: df-bi 116 df-cleq 2133 df-fn 5134 df-f 5135 df-f1 5136 df-fo 5137 df-f1o 5138 |
This theorem is referenced by: prodmodclem3 11376 prodmodc 11379 fprodseq 11384 |
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