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Mirrors > Home > ILE Home > Th. List > r19.45av | Unicode version |
Description: Restricted version of one
direction of Theorem 19.45 of [Margaris]
p. 90. (The other direction doesn't hold when ![]() |
Ref | Expression |
---|---|
r19.45av |
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Step | Hyp | Ref | Expression |
---|---|---|---|
1 | r19.43 2592 |
. 2
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2 | idd 21 |
. . . 4
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3 | 2 | rexlimiv 2546 |
. . 3
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4 | 3 | orim1i 750 |
. 2
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5 | 1, 4 | sylbi 120 |
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-io 699 ax-5 1424 ax-gen 1426 ax-ie1 1470 ax-ie2 1471 ax-4 1488 ax-17 1507 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: (None) |
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