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Mirrors > Home > MPE Home > Th. List > difdif | Structured version Visualization version Unicode version |
Description: Double class difference. Exercise 11 of [TakeutiZaring] p. 22. (Contributed by NM, 17-May-1998.) |
Ref | Expression |
---|---|
difdif |
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Step | Hyp | Ref | Expression |
---|---|---|---|
1 | pm4.45im 565 |
. . 3
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2 | iman 426 |
. . . . 5
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3 | eldif 3414 |
. . . . 5
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4 | 2, 3 | xchbinxr 313 |
. . . 4
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5 | 4 | anbi2i 700 |
. . 3
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6 | 1, 5 | bitr2i 254 |
. 2
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7 | 6 | difeqri 3553 |
1
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Colors of variables: wff setvar class |
Syntax hints: ![]() ![]() ![]() ![]() ![]() ![]() |
This theorem was proved from axioms: ax-mp 5 ax-1 6 ax-2 7 ax-3 8 ax-gen 1669 ax-4 1682 ax-5 1758 ax-6 1805 ax-7 1851 ax-10 1915 ax-11 1920 ax-12 1933 ax-13 2091 ax-ext 2431 |
This theorem depends on definitions: df-bi 189 df-an 373 df-tru 1447 df-ex 1664 df-nf 1668 df-sb 1798 df-clab 2438 df-cleq 2444 df-clel 2447 df-nfc 2581 df-v 3047 df-dif 3407 |
This theorem is referenced by: dif0 3837 undifabs 3844 |
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