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Mirrors > Home > MPE Home > Th. List > eqrelrdv2 | Structured version Visualization version Unicode version |
Description: A version of eqrelrdv 4931. (Contributed by Rodolfo Medina, 10-Oct-2010.) |
Ref | Expression |
---|---|
eqrelrdv2.1 |
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Ref | Expression |
---|---|
eqrelrdv2 |
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Step | Hyp | Ref | Expression |
---|---|---|---|
1 | eqrelrdv2.1 |
. . . 4
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2 | 1 | alrimivv 1774 |
. . 3
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3 | 2 | adantl 468 |
. 2
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4 | eqrel 4924 |
. . 3
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5 | 4 | adantr 467 |
. 2
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6 | 3, 5 | mpbird 236 |
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 ax-5 1758 ax-6 1805 ax-7 1851 ax-9 1896 ax-10 1915 ax-11 1920 ax-12 1933 ax-13 2091 ax-ext 2431 ax-sep 4525 ax-nul 4534 ax-pr 4639 |
This theorem depends on definitions: df-bi 189 df-or 372 df-an 373 df-3an 987 df-tru 1447 df-ex 1664 df-nf 1668 df-sb 1798 df-clab 2438 df-cleq 2444 df-clel 2447 df-nfc 2581 df-ne 2624 df-v 3047 df-dif 3407 df-un 3409 df-in 3411 df-ss 3418 df-nul 3732 df-if 3882 df-sn 3969 df-pr 3971 df-op 3975 df-opab 4462 df-xp 4840 df-rel 4841 |
This theorem is referenced by: xpiindi 4970 fliftcnv 6204 dmtpos 6985 ercnv 7384 fpwwe2lem9 9063 invsym2 15668 eqbrrdv2 32435 dibglbN 34734 diclspsn 34762 dih1 34854 dihglbcpreN 34868 dihmeetlem4preN 34874 |
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