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Mirrors > Home > ILE Home > Th. List > dmeqi | Unicode version |
Description: Equality inference for domain. (Contributed by NM, 4-Mar-2004.) |
Ref | Expression |
---|---|
dmeqi.1 |
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Ref | Expression |
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dmeqi |
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Step | Hyp | Ref | Expression |
---|---|---|---|
1 | dmeqi.1 |
. 2
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2 | dmeq 4845 |
. 2
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3 | 1, 2 | ax-mp 5 |
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-io 710 ax-5 1458 ax-7 1459 ax-gen 1460 ax-ie1 1504 ax-ie2 1505 ax-8 1515 ax-10 1516 ax-11 1517 ax-i12 1518 ax-bndl 1520 ax-4 1521 ax-17 1537 ax-i9 1541 ax-ial 1545 ax-i5r 1546 ax-ext 2171 |
This theorem depends on definitions: df-bi 117 df-3an 982 df-tru 1367 df-nf 1472 df-sb 1774 df-clab 2176 df-cleq 2182 df-clel 2185 df-nfc 2321 df-v 2754 df-un 3148 df-in 3150 df-ss 3157 df-sn 3613 df-pr 3614 df-op 3616 df-br 4019 df-dm 4654 |
This theorem is referenced by: dmxpm 4865 dmxpid 4866 dmxpin 4867 rncoss 4915 rncoeq 4918 rnun 5055 rnin 5056 rnxpm 5076 rnxpss 5078 imainrect 5092 dmpropg 5119 dmtpop 5122 rnsnopg 5125 fntpg 5291 fnreseql 5647 dmoprab 5978 reldmmpo 6009 elmpocl 6092 tfrlem8 6344 tfr2a 6347 tfrlemi14d 6359 tfr1onlemres 6375 tfri1dALT 6377 tfrcllemres 6388 xpassen 6857 sbthlemi5 6991 casedm 7116 djudm 7135 ctssdccl 7141 dmaddpi 7355 dmmulpi 7356 dmaddpq 7409 dmmulpq 7410 axaddf 7898 axmulf 7899 ennnfonelemom 12462 ennnfonelemdm 12474 |
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