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Mirrors > Home > ILE Home > Th. List > rexlimi | Unicode version |
Description: Inference from Theorem 19.21 of [Margaris] p. 90. (Restricted quantifier version.) (Contributed by NM, 30-Nov-2003.) (Proof shortened by Andrew Salmon, 30-May-2011.) |
Ref | Expression |
---|---|
rexlimi.1 |
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rexlimi.2 |
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Ref | Expression |
---|---|
rexlimi |
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Step | Hyp | Ref | Expression |
---|---|---|---|
1 | rexlimi.2 |
. . 3
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2 | 1 | rgen 2530 |
. 2
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3 | rexlimi.1 |
. . 3
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4 | 3 | r19.23 2585 |
. 2
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5 | 2, 4 | mpbi 145 |
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-gen 1449 ax-ie1 1493 ax-ie2 1494 ax-4 1510 ax-ial 1534 ax-i5r 1535 |
This theorem depends on definitions: df-bi 117 df-nf 1461 df-ral 2460 df-rex 2461 |
This theorem is referenced by: rexlimiv 2588 r19.29af2 2617 triun 4116 reusv1 4460 reusv3 4462 onintrab2im 4519 fun11iun 5484 fisumcom2 11449 fprodcom2fi 11637 |
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