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Mirrors > Home > ILE Home > Th. List > eupickbi | Unicode version |
Description: Theorem *14.26 in [WhiteheadRussell] p. 192. (Contributed by Andrew Salmon, 11-Jul-2011.) |
Ref | Expression |
---|---|
eupickbi |
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Step | Hyp | Ref | Expression |
---|---|---|---|
1 | eupicka 2106 |
. . 3
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2 | 1 | ex 115 |
. 2
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3 | hba1 1540 |
. . . . 5
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4 | ancl 318 |
. . . . . . 7
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5 | simpl 109 |
. . . . . . 7
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6 | 4, 5 | impbid1 142 |
. . . . . 6
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7 | 6 | sps 1537 |
. . . . 5
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8 | 3, 7 | eubidh 2032 |
. . . 4
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9 | euex 2056 |
. . . 4
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10 | 8, 9 | syl6bi 163 |
. . 3
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11 | 10 | com12 30 |
. 2
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12 | 2, 11 | impbid 129 |
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 106 ax-ia2 107 ax-ia3 108 ax-io 709 ax-5 1447 ax-7 1448 ax-gen 1449 ax-ie1 1493 ax-ie2 1494 ax-8 1504 ax-10 1505 ax-11 1506 ax-i12 1507 ax-bndl 1509 ax-4 1510 ax-17 1526 ax-i9 1530 ax-ial 1534 ax-i5r 1535 |
This theorem depends on definitions: df-bi 117 df-nf 1461 df-sb 1763 df-eu 2029 df-mo 2030 |
This theorem is referenced by: (None) |
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