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Mirrors > Home > ILE Home > Th. List > r19.23t | Unicode version |
Description: Closed theorem form of r19.23 2543. (Contributed by NM, 4-Mar-2013.) (Revised by Mario Carneiro, 8-Oct-2016.) |
Ref | Expression |
---|---|
r19.23t |
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Step | Hyp | Ref | Expression |
---|---|---|---|
1 | 19.23t 1656 |
. 2
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2 | df-ral 2422 |
. . 3
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3 | impexp 261 |
. . . 4
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4 | 3 | albii 1447 |
. . 3
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5 | 2, 4 | bitr4i 186 |
. 2
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6 | df-rex 2423 |
. . 3
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7 | 6 | imbi1i 237 |
. 2
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8 | 1, 5, 7 | 3bitr4g 222 |
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-gen 1426 ax-ie1 1470 ax-ie2 1471 ax-4 1488 ax-ial 1515 ax-i5r 1516 |
This theorem depends on definitions: df-bi 116 df-nf 1438 df-ral 2422 df-rex 2423 |
This theorem is referenced by: r19.23 2543 rexlimd2 2550 |
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