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Mirrors > Home > ILE Home > Th. List > exsimpr | Unicode version |
Description: Simplification of an existentially quantified conjunction. (Contributed by Rodolfo Medina, 25-Sep-2010.) (Proof shortened by Andrew Salmon, 29-Jun-2011.) |
Ref | Expression |
---|---|
exsimpr |
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Step | Hyp | Ref | Expression |
---|---|---|---|
1 | simpr 110 |
. 2
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2 | 1 | eximi 1600 |
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 |
This theorem depends on definitions: df-bi 117 |
This theorem is referenced by: cbvexv1 1752 onm 4403 imassrn 4983 eliotaeu 5207 fv3 5540 relelfvdm 5549 nfvres 5550 brtpos2 6254 cc1 7266 omiunct 12447 |
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