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Mirrors > Home > ILE Home > Th. List > rexbii2 | Unicode version |
Description: Inference adding different restricted existential quantifiers to each side of an equivalence. (Contributed by NM, 4-Feb-2004.) |
Ref | Expression |
---|---|
rexbii2.1 |
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Ref | Expression |
---|---|
rexbii2 |
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Step | Hyp | Ref | Expression |
---|---|---|---|
1 | rexbii2.1 |
. . 3
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2 | 1 | exbii 1616 |
. 2
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3 | df-rex 2474 |
. 2
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4 | df-rex 2474 |
. 2
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5 | 2, 3, 4 | 3bitr4i 212 |
1
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Colors of variables: wff set class |
Syntax hints: ![]() ![]() ![]() ![]() ![]() |
This theorem was proved from axioms: ax-mp 5 ax-1 6 ax-2 7 ax-ia1 106 ax-ia2 107 ax-ia3 108 ax-5 1458 ax-gen 1460 ax-ie1 1504 ax-ie2 1505 ax-4 1521 ax-ial 1545 |
This theorem depends on definitions: df-bi 117 df-rex 2474 |
This theorem is referenced by: rexeqbii 2503 rexbiia 2505 rexrab 2915 rexdifpr 3635 rexdifsn 3739 bnd2 4188 suplocsrlemb 7823 rexuz2 9599 rexrp 9694 rexuz3 11017 |
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