proofhead.txt

Here are the top lines from a trace from a proof in coq.
please try and reconstruct the main ideas of the proof from this
snippets of traces in count order.
be creative. create a narrative.

  38596   C : category
  24973 Level 0: In environment
  18318 <coq-core.plugins.ltac::simple_refine@0> $1
  13370 while it is expected to have type
  12285 TcDebug (1) > 
  12142   V : monoidal_cat
  11337   x : ob C
  10396   D : disp_cat C
   9708 C : category
   8201   C₂ : category
   8201   C₁ : category
   7837 cannot be applied to the term
   7810   y : ob C
   7474   simple refine (p _) ||
   7474     simple refine (p _ _) ||
   7474 simple refine p ||
   7457 Level 0: Illegal application (Non-functional construction): 
   6273  "?y" : "?T0"
   5912   (Prelude.reverse_coercion T
   5281   D : category
   5189   E : enrichment C V
   5108   M : monoidal C
   4611   V : category
   4611   Mon_V : monoidal V
   4562   F : C₁ ⟶ C₂
   4296   (pr21 x') 
   4161   P : hset_struct_with_smash_closed
   4152 V : monoidal_cat
   4122 Evaluated term: assoc
   4118  (pr11 x') 
   3998    (isofhlevel 1
   3846 of type
   3779 Evaluated term: assoc'
   3756 where
   3756 Level 1: evaluation returns
   3737 uconstr of type tacvalue
   3737   simple refine p ||
   3737     simple refine (p _) ||
   3737 fun p =>
   3708   c : ob C
   3660 <coq-core.plugins.ltac::exact@0> $1
   3581   simple refine (p _ _) ||