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Mirrors > Home > ILE Home > Th. List > elequ1 | Unicode version |
Description: An identity law for the non-logical predicate. (Contributed by NM, 5-Aug-1993.) |
Ref | Expression |
---|---|
elequ1 |
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Step | Hyp | Ref | Expression |
---|---|---|---|
1 | ax-13 2162 |
. 2
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2 | ax-13 2162 |
. . 3
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3 | 2 | equcoms 1719 |
. 2
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4 | 1, 3 | impbid 129 |
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-gen 1460 ax-ie2 1505 ax-8 1515 ax-17 1537 ax-i9 1541 ax-13 2162 |
This theorem depends on definitions: df-bi 117 |
This theorem is referenced by: cleljust 2166 elsb1 2167 dveel1 2169 nalset 4148 zfpow 4193 mss 4244 zfun 4452 pw2f1odclem 6862 ctssdc 7142 acfun 7236 ccfunen 7293 bj-nalset 15108 bj-nnelirr 15166 nninfsellemqall 15226 nninfomni 15230 |
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