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Mirrors > Home > ILE Home > Th. List > opabssxp | Unicode version |
Description: An abstraction relation is a subset of a related cross product. (Contributed by NM, 16-Jul-1995.) |
Ref | Expression |
---|---|
opabssxp |
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Step | Hyp | Ref | Expression |
---|---|---|---|
1 | simpl 108 |
. . 3
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2 | 1 | ssopab2i 4207 |
. 2
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3 | df-xp 4553 |
. 2
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4 | 2, 3 | sseqtrri 3137 |
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-io 699 ax-5 1424 ax-7 1425 ax-gen 1426 ax-ie1 1470 ax-ie2 1471 ax-8 1483 ax-10 1484 ax-11 1485 ax-i12 1486 ax-bndl 1487 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-nfc 2271 df-in 3082 df-ss 3089 df-opab 3998 df-xp 4553 |
This theorem is referenced by: brab2ga 4622 dmoprabss 5861 ecopovsym 6533 ecopovtrn 6534 ecopover 6535 ecopovsymg 6536 ecopovtrng 6537 ecopoverg 6538 enqex 7192 ltrelnq 7197 enq0ex 7271 ltrelpr 7337 enrex 7569 ltrelsr 7570 ltrelre 7665 ltrelxr 7849 dvdszrcl 11534 lmfval 12400 |
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