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Mirrors > Home > ILE Home > Th. List > ralbii2 | 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 1356 |
. 2
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3 | df-ral 2305 |
. 2
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4 | df-ral 2305 |
. 2
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5 | 2, 3, 4 | 3bitr4i 201 |
1
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Colors of variables: wff set class |
Syntax hints: ![]() ![]() ![]() ![]() ![]() |
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 1333 ax-gen 1335 |
This theorem depends on definitions: df-bi 110 df-ral 2305 |
This theorem is referenced by: raleqbii 2330 ralbiia 2332 ralrab 2696 raldifb 3077 raluz2 8298 ralrp 8379 |
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