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Mirrors > Home > ILE Home > Th. List > exancom | Unicode version |
Description: Commutation of conjunction inside an existential quantifier. (Contributed by NM, 18-Aug-1993.) |
Ref | Expression |
---|---|
exancom |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | ancom 264 | . 2 | |
2 | 1 | exbii 1569 | 1 |
Colors of variables: wff set class |
Syntax hints: wa 103 wb 104 wex 1453 |
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 1408 ax-gen 1410 ax-ie1 1454 ax-ie2 1455 ax-4 1472 ax-ial 1499 |
This theorem depends on definitions: df-bi 116 |
This theorem is referenced by: 19.29r 1585 19.42h 1650 19.42 1651 risset 2440 morex 2841 dfuni2 3708 eluni2 3710 unipr 3720 dfiun2g 3815 uniuni 4342 cnvco 4694 imadif 5173 funimaexglem 5176 bdcuni 13001 bj-axun2 13040 |
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