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Mirrors > Home > ILE Home > Th. List > fssdm | Unicode version |
Description: Expressing that a class is a subclass of the domain of a function expressed in maps-to notation, semi-deduction form. (Contributed by AV, 21-Aug-2022.) |
Ref | Expression |
---|---|
fssdm.d |
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fssdm.f |
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Ref | Expression |
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fssdm |
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Step | Hyp | Ref | Expression |
---|---|---|---|
1 | fssdm.d |
. 2
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2 | fssdm.f |
. . 3
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3 | 2 | fdmd 5237 |
. 2
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4 | 1, 3 | sseqtrid 3113 |
1
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Colors of variables: wff set class |
Syntax hints: ![]() ![]() ![]() ![]() |
This theorem was proved from axioms: ax-1 5 ax-2 6 ax-mp 7 ax-ia1 105 ax-ia2 106 ax-ia3 107 ax-5 1406 ax-7 1407 ax-gen 1408 ax-ie1 1452 ax-ie2 1453 ax-8 1465 ax-11 1467 ax-4 1470 ax-17 1489 ax-i9 1493 ax-ial 1497 ax-i5r 1498 ax-ext 2097 |
This theorem depends on definitions: df-bi 116 df-nf 1420 df-sb 1719 df-clab 2102 df-cleq 2108 df-clel 2111 df-in 3043 df-ss 3050 df-fn 5084 df-f 5085 |
This theorem is referenced by: fisumss 11053 cnclima 12234 txcnmpt 12284 xmeter 12425 |
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