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Theorem bdeli 7265
Description: Inference associated with bdel 7264. Its converse is bdelir 7266. (Contributed by BJ, 3-Oct-2019.)
Hypothesis
Ref Expression
bdeli.1 BOUNDED
Assertion
Ref Expression
bdeli BOUNDED
Distinct variable group:   ,

Proof of Theorem bdeli
StepHypRef Expression
1 bdeli.1 . 2 BOUNDED
2 bdel 7264 . 2 BOUNDED BOUNDED
31, 2ax-mp 7 1 BOUNDED
Colors of variables: wff set class
Syntax hints:   wcel 1370  BOUNDED wbd 7231  BOUNDED wbdc 7259
This theorem was proved from axioms:  ax-1 5  ax-2 6  ax-mp 7  ax-ia1 99  ax-4 1377
This theorem depends on definitions:  df-bi 110  df-bdc 7260
This theorem is referenced by:  bdph  7269  bdcrab  7271  bdnel  7273  bdccsb  7279  bdcdif  7280  bdcun  7281  bdcin  7282  bdss  7283  bdsnss  7292  bdciun  7297  bdciin  7298  bdinex1  7314  bj-uniex2  7331  bj-inf2vnlem3  7386
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