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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 |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | simpr 108 | . 2 | |
2 | 1 | eximi 1531 | 1 |
Colors of variables: wff set class |
Syntax hints: wi 4 wa 102 wex 1421 |
This theorem was proved from axioms: ax-1 5 ax-2 6 ax-mp 7 ax-ia1 104 ax-ia2 105 ax-ia3 106 ax-5 1376 ax-gen 1378 ax-ie1 1422 ax-ie2 1423 ax-4 1440 ax-ial 1467 |
This theorem depends on definitions: df-bi 115 |
This theorem is referenced by: onm 4156 imassrn 4699 fv3 5218 relelfvdm 5226 nfvres 5227 brtpos2 5889 |
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