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Mirrors > Home > ILE Home > Th. List > ralimdv | Unicode version |
Description: Deduction quantifying both antecedent and consequent, based on Theorem 19.20 of [Margaris] p. 90. (Contributed by NM, 8-Oct-2003.) |
Ref | Expression |
---|---|
ralimdv.1 |
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Ref | Expression |
---|---|
ralimdv |
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Step | Hyp | Ref | Expression |
---|---|---|---|
1 | ralimdv.1 |
. . 3
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2 | 1 | adantr 276 |
. 2
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3 | 2 | ralimdva 2561 |
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-4 1521 ax-17 1537 |
This theorem depends on definitions: df-bi 117 df-nf 1472 df-ral 2477 |
This theorem is referenced by: poss 4329 sess1 4368 sess2 4369 riinint 4923 dffo4 5706 dffo5 5707 isoini2 5862 rdgivallem 6434 iinerm 6661 xpf1o 6900 exmidontriimlem3 7283 exmidontriim 7285 resqrexlemgt0 11164 cau3lem 11258 caubnd2 11261 climshftlemg 11445 climcau 11490 climcaucn 11494 serf0 11495 modfsummodlemstep 11600 bezoutlemmain 12135 ctinf 12587 strsetsid 12651 imasaddfnlemg 12897 islss4 13878 fiinbas 14217 baspartn 14218 lmtopcnp 14418 rescncf 14736 limcresi 14820 |
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