af5322c7ef
This PR modifies `intro` to create tactic info localized to each hypothesis, making it possible to see how `intro` works variable-by-variable. Additionally: - The tactic supports `intro rfl` to introduce an equality and immediately substitute it, like `rintro rfl` (recall: the `rfl` pattern is like doing `intro h; subst h`). The `rintro` tactic can also now support `HEq` in `rfl` patterns if `eq_of_heq` applies. - In `intro (h : t)`, elaboration of `t` is interleaved with unification with the type of `h`, which prevents default instances from causing unification to fail. - Tactics that change types of hypotheses (including `intro (h : t)`, `delta`, `dsimp`) now update the local instance cache. In `intro x y z`, tactic info ranges are `intro x`, `y`, and `z`. The reason for including `intro` with `x` is to make sure the info range is "monotonic" while adding the first argument to `intro`.
150 lines
3.3 KiB
Text
150 lines
3.3 KiB
Text
example : α → α := by
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--^ $/lean/plainGoal
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--^ $/lean/plainGoal
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intro a
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--^ $/lean/plainGoal
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--^ $/lean/plainGoal
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--v $/lean/plainGoal
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focus
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apply a
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example : α → α := by
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--^ $/lean/plainGoal
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example : 0 + n = n := by
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induction n with
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| zero => simp; simp
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--^ $/lean/plainGoal
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| succ
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--^ $/lean/plainGoal
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example : α → α := by
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intro a; apply a
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--^ $/lean/plainGoal
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--^ $/lean/plainGoal
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--^ $/lean/plainGoal
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example (h1 : n = m) (h2 : m = 0) : 0 = n := by
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rw [h1, h2]
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--^ $/lean/plainGoal
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--^ $/lean/plainGoal
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--^ $/lean/plainGoal
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example : 0 + n = n := by
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induction n
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focus
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--^ $/lean/plainGoal
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rfl
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-- TODO: goal state after dedent
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example : 0 + n = n := by
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induction n
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--^ $/lean/plainGoal
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example : 0 + n = n := by
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cases n
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--^ $/lean/plainGoal
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example : ∀ a b : Nat, a = b := by
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intro a b
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--^ $/lean/plainGoal
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--^ $/lean/plainGoal
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example : α → α := (by
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--^ $/lean/plainGoal
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example (p : α → Prop) (a b : α) [DecidablePred p] (h : ∀ {p} [DecidablePred p], p a → p b) : p b := by
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apply h _
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--^ $/lean/plainGoal
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-- should not display solved goal `⊢ DecidablePred p`
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example : True ∧ False := by
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constructor
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{ constructor }
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--^ $/lean/plainGoal
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{ }
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--^ $/lean/plainGoal
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example : True ∧ False := by
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constructor
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· constructor
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--^ $/lean/plainGoal
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·
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--^ $/lean/plainGoal
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theorem left_distrib (t a b : Nat) : t * (a + b) = t * a + t * b := by
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induction b
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next => simp
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next =>
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rw [Nat.add_succ]
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repeat (rw [Nat.mul_succ])
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--^ $/lean/plainGoal
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example (as bs cs : List α) : (as ++ bs) ++ cs = as ++ (bs ++ cs) := by
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induction as <;> skip <;> (try rename_i h; simp[h]) <;> rfl
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--^ $/lean/plainGoal
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--^ $/lean/plainGoal
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example : True := (by exact True.intro)
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--^ $/lean/plainGoal
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example : True := (by exact True.intro )
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--^ $/lean/plainGoal
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example : True ∧ False := by
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· constructor; constructor
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--^ $/lean/plainGoal
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example : True = True := by
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conv =>
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--^ $/lean/plainGoal
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whnf
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--^ $/lean/plainGoal
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--
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--^ $/lean/plainGoal
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example : True := by
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have : True := by
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-- type here
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--^ $/lean/plainGoal
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-- no `this` here either, but seems okay
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--^ $/lean/plainGoal
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example : True := by
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have : True := by
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-- type here
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--^ $/lean/plainGoal
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apply this
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--^ $/lean/plainGoal
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-- note: no output here at all because of parse error
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example : False := by
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-- EOF test
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--^ $/lean/plainGoal
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example (hp : p) (hq : q) : p ∧ q := by
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suffices q ∧ p by
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--^ $/lean/plainGoal
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example (hp : p) (hq : q) : p ∧ q :=
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show id (p ∧ q) by
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--^ $/lean/plainGoal
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example : True ∧ False := by
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constructor
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· --
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--^ $/lean/plainGoal
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--^ $/lean/plainGoal
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section
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example : True := by induction 1 with
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--^ $/lean/plainGoal
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example : True := by induction 1 with |
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--^ $/lean/plainGoal
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example : True := by induction 1 with done
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--^ $/lean/plainGoal
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end
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