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Mirrors > Home > ILE Home > Th. List > r19.9rmv | Unicode version |
Description: Restricted quantification of wff not containing quantified variable. (Contributed by Jim Kingdon, 5-Aug-2018.) |
Ref | Expression |
---|---|
r19.9rmv |
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Step | Hyp | Ref | Expression |
---|---|---|---|
1 | eleq1 2162 |
. . 3
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2 | 1 | cbvexv 1855 |
. 2
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3 | eleq1 2162 |
. . . 4
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4 | 3 | cbvexv 1855 |
. . 3
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5 | df-rex 2381 |
. . . . 5
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6 | 19.41v 1841 |
. . . . 5
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7 | 5, 6 | bitri 183 |
. . . 4
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8 | 7 | baibr 873 |
. . 3
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9 | 4, 8 | sylbi 120 |
. 2
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10 | 2, 9 | sylbir 134 |
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 1391 ax-7 1392 ax-gen 1393 ax-ie1 1437 ax-ie2 1438 ax-8 1450 ax-4 1455 ax-17 1474 ax-i9 1478 ax-ial 1482 ax-ext 2082 |
This theorem depends on definitions: df-bi 116 df-cleq 2093 df-clel 2096 df-rex 2381 |
This theorem is referenced by: r19.45mv 3403 r19.44mv 3404 iunconstm 3768 fconstfvm 5570 frecabcl 6226 ltexprlemloc 7316 lcmgcdlem 11551 |
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