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Mirrors > Home > MPE Home > Th. List > ralbii2 | Structured version Visualization version Unicode version |
Description: Inference adding different restricted universal quantifiers to each side of an equivalence. (Contributed by NM, 15-Aug-2005.) |
Ref | Expression |
---|---|
ralbii2.1 |
Ref | Expression |
---|---|
ralbii2 |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | ralbii2.1 | . . 3 | |
2 | 1 | albii 1747 | . 2 |
3 | df-ral 2917 | . 2 | |
4 | df-ral 2917 | . 2 | |
5 | 2, 3, 4 | 3bitr4i 292 | 1 |
Colors of variables: wff setvar class |
Syntax hints: wi 4 wb 196 wal 1481 wcel 1990 wral 2912 |
This theorem was proved from axioms: ax-mp 5 ax-1 6 ax-2 7 ax-3 8 ax-gen 1722 ax-4 1737 |
This theorem depends on definitions: df-bi 197 df-ral 2917 |
This theorem is referenced by: ralbiia 2979 ralbii 2980 raleqbii 2990 ralrab 3368 raldifb 3750 raldifsni 4324 reusv2 4874 dfsup2 8350 iscard2 8802 acnnum 8875 dfac9 8958 dfacacn 8963 raluz2 11737 ralrp 11852 isprm4 15397 isdomn2 19299 isnrm2 21162 ismbl 23294 ellimc3 23643 dchrelbas2 24962 h1dei 28409 fnwe2lem2 37621 sdrgacs 37771 |
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