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Mirrors > Home > ILE Home > Th. List > r19.27m | Unicode version |
Description: Restricted quantifier version of Theorem 19.27 of [Margaris] p. 90. It is valid only when the domain of quantification is inhabited. (Contributed by Jim Kingdon, 5-Aug-2018.) |
Ref | Expression |
---|---|
r19.27m.1 |
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Ref | Expression |
---|---|
r19.27m |
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Step | Hyp | Ref | Expression |
---|---|---|---|
1 | r19.26 2603 |
. 2
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2 | r19.27m.1 |
. . . 4
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3 | 2 | r19.3rm 3511 |
. . 3
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4 | 3 | anbi2d 464 |
. 2
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5 | 1, 4 | bitr4id 199 |
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-5 1447 ax-7 1448 ax-gen 1449 ax-ie1 1493 ax-ie2 1494 ax-8 1504 ax-4 1510 ax-17 1526 ax-i9 1530 ax-ial 1534 ax-i5r 1535 ax-ext 2159 |
This theorem depends on definitions: df-bi 117 df-nf 1461 df-cleq 2170 df-clel 2173 df-ral 2460 |
This theorem is referenced by: r19.27mv 3519 raaanlem 3528 |
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