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Mirrors > Home > ILE Home > Th. List > fss | Unicode version |
Description: Expanding the codomain of a mapping. (Contributed by NM, 10-May-1998.) (Proof shortened by Andrew Salmon, 17-Sep-2011.) |
Ref | Expression |
---|---|
fss |
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Step | Hyp | Ref | Expression |
---|---|---|---|
1 | sstr2 3109 |
. . . . 5
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2 | 1 | com12 30 |
. . . 4
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3 | 2 | anim2d 335 |
. . 3
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4 | df-f 5135 |
. . 3
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5 | df-f 5135 |
. . 3
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6 | 3, 4, 5 | 3imtr4g 204 |
. 2
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7 | 6 | impcom 124 |
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 ax-ia2 106 ax-ia3 107 ax-5 1424 ax-7 1425 ax-gen 1426 ax-ie1 1470 ax-ie2 1471 ax-8 1483 ax-11 1485 ax-4 1488 ax-17 1507 ax-i9 1511 ax-ial 1515 ax-i5r 1516 ax-ext 2122 |
This theorem depends on definitions: df-bi 116 df-nf 1438 df-sb 1737 df-clab 2127 df-cleq 2133 df-clel 2136 df-in 3082 df-ss 3089 df-f 5135 |
This theorem is referenced by: fssd 5293 fconst6g 5329 f1ss 5342 ffoss 5407 fsn2 5602 ofco 6008 tposf2 6173 issmo2 6194 smoiso 6207 mapsn 6592 ssdomg 6680 omp1eomlem 6987 1fv 9947 fxnn0nninf 10242 abscn2 11116 recn2 11118 imcn2 11119 climabs 11121 climre 11123 climim 11124 fsumre 11273 fsumim 11274 ismet2 12562 dvfre 12882 dvrecap 12885 |
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