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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 253 | . 2 | |
2 | 1 | exbii 1496 | 1 |
Colors of variables: wff set class |
Syntax hints: wa 97 wb 98 wex 1381 |
This theorem was proved from axioms: ax-1 5 ax-2 6 ax-mp 7 ax-ia1 99 ax-ia2 100 ax-ia3 101 ax-5 1336 ax-gen 1338 ax-ie1 1382 ax-ie2 1383 ax-4 1400 ax-ial 1427 |
This theorem depends on definitions: df-bi 110 |
This theorem is referenced by: 19.29r 1512 19.42h 1577 19.42 1578 risset 2352 morex 2725 dfuni2 3582 eluni2 3584 unipr 3594 dfiun2g 3689 uniuni 4183 cnvco 4520 imadif 4979 funimaexglem 4982 bdcuni 9996 bj-axun2 10035 |
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