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Mirrors > Home > ILE Home > Th. List > exsimpl | 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 |
---|---|
exsimpl |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | simpl 108 | . 2 | |
2 | 1 | eximi 1579 | 1 |
Colors of variables: wff set class |
Syntax hints: wi 4 wa 103 wex 1468 |
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-5 1423 ax-gen 1425 ax-ie1 1469 ax-ie2 1470 ax-4 1487 ax-ial 1514 |
This theorem depends on definitions: df-bi 116 |
This theorem is referenced by: 19.40 1610 euex 2029 moexexdc 2083 elex 2697 sbc5 2932 dmcoss 4808 fmptco 5586 brabvv 5817 brtpos2 6148 |
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