lean4-htt/tests/lean/simp_trace.lean.expected.out

Try this: simp only [f, reduceCtorEq]
[Meta.Tactic.simp.rewrite] unfold f, f (a :: b = []) ==> a :: b = []
[Meta.Tactic.simp.rewrite] eq_self:1000: False = False ==> True
Try this: simp only [length, gt_iff_lt]
[Meta.Tactic.simp.rewrite] unfold length, length (a :: b :: as) ==> length (b :: as) + 1
[Meta.Tactic.simp.rewrite] unfold length, length (b :: as) ==> length as + 1
[Meta.Tactic.simp.rewrite] gt_iff_lt:1000: length as + 1 + 1 > length as ==> length as < length as + 1 + 1
Try this: simp only [fact, gt_iff_lt, Nat.zero_lt_succ, Nat.mul_pos_iff_of_pos_left]
[Meta.Tactic.simp.rewrite] unfold fact, fact (x + 1) ==> (x + 1) * fact x
[Meta.Tactic.simp.rewrite] gt_iff_lt:1000:
      (x + 1) * fact x > 0
    ==>
      0 < (x + 1) * fact x
[Meta.Tactic.simp.rewrite] Nat.zero_lt_succ:1000:
      0 < x + 1
    ==>
      True
[Meta.Tactic.simp.rewrite] Nat.mul_pos_iff_of_pos_left:1000: 0 < (x + 1) * fact x ==> 0 < fact x
Try this: simp only [head]
[Meta.Tactic.simp.rewrite] unfold head, head (a :: as) ==> match a :: as with
    | [] => default
    | a :: tail => a
[Meta.Tactic.simp.rewrite] eq_self:1000: a = a ==> True
Try this: simp only [foo]
[Meta.Tactic.simp.rewrite] unfold foo, foo ==> 10
[Meta.Tactic.simp.rewrite] eq_self:1000: 10 + x = 10 + x ==> True
Try this: simp only [g, pure]
[Meta.Tactic.simp.rewrite] unfold g, g x ==> (let x := x;
      pure x).run
Try this: simp (config := { unfoldPartialApp := true }) only [f1, modify, modifyGet, MonadStateOf.modifyGet,
  StateT.modifyGet, pure, f2, bind, StateT.bind, get, getThe, MonadStateOf.get, StateT.get, set, StateT.set]
[Meta.Tactic.simp.rewrite] unfold f1, f1 ==> modify fun x => g x
[Meta.Tactic.simp.rewrite] unfold modify, modify fun x => g x ==> modifyGet fun s => (PUnit.unit, (fun x => g x) s)
[Meta.Tactic.simp.rewrite] unfold StateT.modifyGet, StateT.modifyGet fun s =>
      (PUnit.unit, (fun x => g x) s) ==> fun s => pure ((fun s => (PUnit.unit, (fun x => g x) s)) s)
[Meta.Tactic.simp.rewrite] unfold f2, f2 ==> do
      let s ← get
      set (g s)
[Meta.Tactic.simp.rewrite] unfold StateT.bind, StateT.bind get fun s => set (g s) ==> fun s => do
      let __discr ← get s
      match __discr with
        | (a, s) => (fun s => set (g s)) a s
[Meta.Tactic.simp.rewrite] unfold getThe, getThe Nat s ==> MonadStateOf.get s
[Meta.Tactic.simp.rewrite] unfold StateT.get, StateT.get s ==> pure (s, s)
[Meta.Tactic.simp.rewrite] unfold StateT.set, StateT.set (g s) s ==> pure (PUnit.unit, g s)
[Meta.Tactic.simp.rewrite] eq_self:1000: (fun s => (PUnit.unit, g s)) = fun s => (PUnit.unit, g s) ==> True
Try this: simp only [bla, h]
[Meta.Tactic.simp.rewrite] unfold bla, bla x ==> match h x with
    | Sum.inl (y, z) => y + z
    | Sum.inr val => 0
[Meta.Tactic.simp.rewrite] unfold h, h x ==> Sum.inl (x, x)
[Meta.Tactic.simp.rewrite] eq_self:1000: x + x = x + x ==> True
Try this: simp only [h, Nat.sub_add_cancel]
[Meta.Tactic.simp.rewrite] h:1000:
      1 ≤ x
    ==>
      True
[Meta.Tactic.simp.rewrite] Nat.sub_add_cancel:1000:
      x - 1 + 1
    ==>
      x
[Meta.Tactic.simp.rewrite] eq_self:1000: x + 2 = x + 2 ==> True
Try this: simp (config := { contextual := true }) only [Nat.sub_add_cancel, dite_eq_ite]
[Meta.Tactic.simp.rewrite] h:1000:
      1 ≤ x
    ==>
      True
[Meta.Tactic.simp.rewrite] Nat.sub_add_cancel:1000:
      x - 1 + 1
    ==>
      x
[Meta.Tactic.simp.rewrite] dite_eq_ite:1000:
      if h : 1 ≤ x then x else 0
    ==>
      if 1 ≤ x then x else 0
[Meta.Tactic.simp.rewrite] dite_eq_ite:1000:
      if _h : 1 ≤ x then x else 0
    ==>
      if 1 ≤ x then x else 0
[Meta.Tactic.simp.rewrite] eq_self:1000: (if 1 ≤ x then x else 0) = if 1 ≤ x then x else 0 ==> True
Try this: simp only [and_self]
[Meta.Tactic.simp.rewrite] and_self:1000:
      b ∧ b
    ==>
      b
[Meta.Tactic.simp.rewrite] iff_self:1000: a ∧ b ↔ a ∧ b ==> True
Try this: simp only [my_thm]
[Meta.Tactic.simp.rewrite] my_thm:1000:
      b ∧ b
    ==>
      b
[Meta.Tactic.simp.rewrite] eq_self:1000: (a ∧ b) = (a ∧ b) ==> True
Try this: simp (discharger := sorry) only [Nat.sub_add_cancel]
[Meta.Tactic.simp.rewrite] Nat.sub_add_cancel:1000:
      x - 1 + 1
    ==>
      x
[Meta.Tactic.simp.rewrite] eq_self:1000: x = x ==> True
simp_trace.lean:83:0-83:7: warning: declaration uses 'sorry'
Try this: simp only [bla, h] at *
[Meta.Tactic.simp.rewrite] unfold bla, bla x ==> match h x with
    | Sum.inl (y, z) => y + z
    | Sum.inr val => 0
[Meta.Tactic.simp.rewrite] unfold h, h x ==> Sum.inl (x, x)
Try this: simp only [bla, h] at h'
[Meta.Tactic.simp.rewrite] unfold bla, bla x ==> match h x with
    | Sum.inl (y, z) => y + z
    | Sum.inr val => 0
[Meta.Tactic.simp.rewrite] unfold h, h x ==> Sum.inl (x, x)
Try this: simp only [bla, h, List.length_append] at *
simp_trace.lean:102:101-103:40: error: unsolved goals
x y : Nat
α : Type
xs ys : List α
h₁ : x + x = y
h₂ : xs.length + ys.length = y
⊢ x = length xs
[Meta.Tactic.simp.rewrite] unfold bla, bla x ==> match h x with
    | Sum.inl (y, z) => y + z
    | Sum.inr val => 0
[Meta.Tactic.simp.rewrite] unfold h, h x ==> Sum.inl (x, x)
[Meta.Tactic.simp.rewrite] List.length_append:1000: (xs ++ ys).length ==> xs.length + ys.length
Try this: simp only [bla, h, List.length_append] at *
simp_trace.lean:106:101-107:53: error: unsolved goals
x y : Nat
α : Type
xs ys : List α
h₁ : x + x = y
h₂ : xs.length + ys.length = y
⊢ x = length xs
[Meta.Tactic.simp.rewrite] unfold bla, bla x ==> match h x with
    | Sum.inl (y, z) => y + z
    | Sum.inr val => 0
[Meta.Tactic.simp.rewrite] unfold h, h x ==> Sum.inl (x, x)
[Meta.Tactic.simp.rewrite] List.length_append:1000: (xs ++ ys).length ==> xs.length + ys.length
Try this: simp only [bla, h] at *
[Meta.Tactic.simp.rewrite] unfold bla, bla x ==> match h x with
    | Sum.inl (y, z) => y + z
    | Sum.inr val => 0
[Meta.Tactic.simp.rewrite] unfold h, h x ==> Sum.inl (x, x)
[Meta.Tactic.simp.rewrite] unfold bla, bla y ==> match h y with
    | Sum.inl (y, z) => y + z
    | Sum.inr val => 0
[Meta.Tactic.simp.rewrite] unfold h, h y ==> Sum.inl (y, y)
Try this: simp only [bla, h] at *
[Meta.Tactic.simp.rewrite] unfold bla, bla x ==> match h x with
    | Sum.inl (y, z) => y + z
    | Sum.inr val => 0
[Meta.Tactic.simp.rewrite] unfold h, h x ==> Sum.inl (x, x)
[Meta.Tactic.simp.rewrite] unfold bla, bla x ==> match h x with
    | Sum.inl (y, z) => y + z
    | Sum.inr val => 0
[Meta.Tactic.simp.rewrite] unfold h, h x ==> Sum.inl (x, x)
Try this: simp only [HasProp.toProp]
Try this: simp only [← h]
[Meta.Tactic.simp.rewrite] ← h:1000:
      Q
    ==>
      P
Try this: simp only [← my_thm']
[Meta.Tactic.simp.rewrite] ← my_thm':1000:
      P ∧ P
    ==>
      P
[Meta.Tactic.simp.rewrite] iff_self:1000: P ↔ P ==> True
Try this: simp only [h]
[Meta.Tactic.simp.rewrite] h:1000:
      P
    ==>
      True
Try this: simp only [*]
[Meta.Tactic.simp.rewrite] a✝:1000:
      P
    ==>
      True
Try this: simp_all only
[Meta.Tactic.simp.rewrite] h₁:1000:
      n
    ==>
      m
Try this: simp_all only
[Meta.Tactic.simp.rewrite] h₁:1000:
      n
    ==>
      m
[Meta.Tactic.simp.rewrite] h₁:1000: n ==> m