Goal:
    z : Z  z0 : Z  z1 : Z  H : (z1 <= z)%Z \/ (z1 <= z0)%Z
  ============================
   (z1 <= Z.max z z0)%Z


DEBUG:Going to execute:
elim id
Level 2: evaluation returns
<coq-core.plugins.tauto::is_disj@0>
where
tauto_flags := 
of type
tauto_flags
X1 := (z1 <= z)%Z \/ (z1 <= z0)%Z
of type
constr of type tacvalue


Goals:
    z : Z  z0 : Z  z1 : Z  H : (z1 <= z)%Z \/ (z1 <= z0)%Z
  ============================
   ((z1 <= z)%Z -> (z1 <= Z.max z z0)%Z)

    z : Z  z0 : Z  z1 : Z  H : (z1 <= z)%Z \/ (z1 <= z0)%Z
  ============================
   ((z1 <= z0)%Z -> (z1 <= Z.max z z0)%Z)


DEBUG:Going to execute:
intro
DEBUG LTAC Evaluated term: H

Goals:
    z : Z  z0 : Z  z1 : Z  H : (z1 <= z)%Z \/ (z1 <= z0)%Z
  ============================
   ((z1 <= z)%Z -> (z1 <= Z.max z z0)%Z)

    z : Z  z0 : Z  z1 : Z  H : (z1 <= z)%Z \/ (z1 <= z0)%Z
  ============================
   ((z1 <= z0)%Z -> (z1 <= Z.max z z0)%Z)


DEBUG:Going to execute:
<coq-core.plugins.ltac::intro@0>

Goals:
    z : Z  z0 : Z  z1 : Z  H : (z1 <= z)%Z \/ (z1 <= z0)%Z  H0 : (z1 <= z)%Z
  ============================
   (z1 <= Z.max z z0)%Z

    z : Z  z0 : Z  z1 : Z  H : (z1 <= z)%Z \/ (z1 <= z0)%Z  H0 : (z1 <= z0)%Z
  ============================
   (z1 <= Z.max z z0)%Z


DEBUG:Going to execute:
clear id