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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 |
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Ref | Expression |
---|---|
ralbii2 |
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Step | Hyp | Ref | Expression |
---|---|---|---|
1 | ralbii2.1 |
. . 3
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2 | 1 | albii 1691 |
. 2
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3 | df-ral 2742 |
. 2
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4 | df-ral 2742 |
. 2
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5 | 2, 3, 4 | 3bitr4i 281 |
1
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Colors of variables: wff setvar class |
Syntax hints: ![]() ![]() ![]() ![]() ![]() |
This theorem was proved from axioms: ax-mp 5 ax-1 6 ax-2 7 ax-3 8 ax-gen 1669 ax-4 1682 |
This theorem depends on definitions: df-bi 189 df-ral 2742 |
This theorem is referenced by: ralbiia 2818 ralbii 2819 raleqbii 2833 ralrab 3200 raldifb 3573 raldifsni 4102 reusv2 4609 dfsup2 7958 iscard2 8410 acnnum 8483 dfac9 8566 dfacacn 8571 raluz2 11208 ralrp 11321 isprm4 14634 isdomn2 18523 isnrm2 20374 ismbl 22480 ellimc3 22834 dchrelbas2 24165 h1dei 27203 fnwe2lem2 35909 sdrgacs 36067 |
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