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Mirrors > Home > MPE Home > Th. List > alinexa | Unicode version |
Description: A transformation of quantifiers and logical connectives. (Contributed by NM, 19-Aug-1993.) |
Ref | Expression |
---|---|
alinexa |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | imnan 422 | . . 3 | |
2 | 1 | albii 1640 | . 2 |
3 | alnex 1614 | . 2 | |
4 | 2, 3 | bitri 249 | 1 |
Colors of variables: wff setvar class |
Syntax hints: -. wn 3 -> wi 4
<-> wb 184 /\ wa 369 A. wal 1393
E. wex 1612 |
This theorem is referenced by: equs3 1734 ralnex 2903 r2exlem 2977 zfregs2 8185 ac6n 8886 nnunb 10816 alexsubALTlem3 20549 nmobndseqi 25694 zfregs2VD 33641 bj-exnalimn 34221 |
This theorem was proved from axioms: ax-mp 5 ax-1 6 ax-2 7 ax-3 8 ax-gen 1618 ax-4 1631 |
This theorem depends on definitions: df-bi 185 df-an 371 df-ex 1613 |
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