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Theorem 3anidm12p1 28895
Description: A deduction unionizing a non-unionized collection of virtual hypotheses. 3anidm12 1239 denotes the deduction which would have been named uun112 if it did not pre-exist in set.mm. This second permutation's name is based on this pre-existing name. (Contributed by Alan Sare, 4-Feb-2017.) (Proof modification is discouraged.) (New usage is discouraged.)
Hypothesis
Ref Expression
3anidm12p1.1  |-  ( (
ph  /\  ps  /\  ph )  ->  ch )
Assertion
Ref Expression
3anidm12p1  |-  ( (
ph  /\  ps )  ->  ch )

Proof of Theorem 3anidm12p1
StepHypRef Expression
1 3anidm12p1.1 . 2  |-  ( (
ph  /\  ps  /\  ph )  ->  ch )
213anidm13 1240 1  |-  ( (
ph  /\  ps )  ->  ch )
Colors of variables: wff set class
Syntax hints:    -> wi 4    /\ wa 358    /\ w3a 934
This theorem was proved from axioms:  ax-1 5  ax-2 6  ax-3 7  ax-mp 8
This theorem depends on definitions:  df-bi 177  df-an 360  df-3an 936
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