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#3155 is(abs(cos(x))<=1) is unknown, but is(cos(x)<=1) and is(cos(x)>=-1) are true

None
closed
nobody
5
2026-05-28
2016-05-09
No
(%i1) is(cos(x)<=1);
(%o1) true
(%i2) is(cos(x)>=-1);
(%o2) true
(%i3) is(abs(cos(x))<=1);
(%o3) unknown

Discussion

  • Robert Dodier

    Robert Dodier - 2017-08-19
    • labels: --> sign, abs, assume
     
  • David Scherfgen

    David Scherfgen - 2025-05-15

    Maybe inequalities involving abs(f(x)) can be reduced to f(x)^2, which is already handled correctly.

     
  • David Scherfgen

    David Scherfgen - 2026-05-28
    • status: open --> closed
     
  • David Scherfgen

    David Scherfgen - 2026-05-28

    Fixed by commit [96ea42].

     

    Related

    Commit: [96ea42]


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