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Theorem tpid2g 3669
 Description: Closed theorem form of tpid2 3668. (Contributed by Glauco Siliprandi, 23-Oct-2021.)
Assertion
Ref Expression
tpid2g

Proof of Theorem tpid2g
StepHypRef Expression
1 eqid 2154 . . 3
213mix2i 1155 . 2
3 eltpg 3600 . 2
42, 3mpbiri 167 1
 Colors of variables: wff set class Syntax hints:   wi 4   w3o 962   wceq 1332   wcel 2125  ctp 3558 This theorem was proved from axioms:  ax-mp 5  ax-1 6  ax-2 7  ax-ia1 105  ax-ia2 106  ax-ia3 107  ax-io 699  ax-5 1424  ax-7 1425  ax-gen 1426  ax-ie1 1470  ax-ie2 1471  ax-8 1481  ax-10 1482  ax-11 1483  ax-i12 1484  ax-bndl 1486  ax-4 1487  ax-17 1503  ax-i9 1507  ax-ial 1511  ax-i5r 1512  ax-ext 2136 This theorem depends on definitions:  df-bi 116  df-3or 964  df-tru 1335  df-nf 1438  df-sb 1740  df-clab 2141  df-cleq 2147  df-clel 2150  df-nfc 2285  df-v 2711  df-un 3102  df-sn 3562  df-pr 3563  df-tp 3564 This theorem is referenced by:  rngplusgg  12254  srngplusgd  12261  lmodplusgd  12272  ipsaddgd  12280  ipsvscad  12283  topgrpplusgd  12290
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