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Mirrors > Home > ILE Home > Th. List > fssdmd | Unicode version |
Description: Expressing that a class is a subclass of the domain of a function expressed in maps-to notation, deduction form. (Contributed by AV, 21-Aug-2022.) |
Ref | Expression |
---|---|
fssdmd.f |
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fssdmd.d |
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Ref | Expression |
---|---|
fssdmd |
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Step | Hyp | Ref | Expression |
---|---|---|---|
1 | fssdmd.d |
. 2
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2 | fssdmd.f |
. . 3
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3 | 2 | fdmd 5202 |
. 2
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4 | 1, 3 | sseqtrd 3077 |
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 1388 ax-7 1389 ax-gen 1390 ax-ie1 1434 ax-ie2 1435 ax-8 1447 ax-11 1449 ax-4 1452 ax-17 1471 ax-i9 1475 ax-ial 1479 ax-i5r 1480 ax-ext 2077 |
This theorem depends on definitions: df-bi 116 df-nf 1402 df-sb 1700 df-clab 2082 df-cleq 2088 df-clel 2091 df-in 3019 df-ss 3026 df-fn 5052 df-f 5053 |
This theorem is referenced by: (None) |
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