e82cd9b62c
This PR refines how the `apply` tactic (and related tactics like `rewrite`) name and tag the remaining subgoals. Assigned metavariables are now filtered out *before* computing subgoal tags. As a consequence, when only one unassigned subgoal remains, it inherits the tag of the input goal instead of being given a fresh suffixed tag. User-visible effect: proof states that previously displayed tags like `case h`, `case a`, or `case upper.h` for a single remaining goal now display the input goal's tag directly (e.g. no tag at all, or `case upper`). This removes noise from `funext`, `rfl`-style, and `induction`-alternative goals when the applied lemma introduces only one non-assigned metavariable. Multi-goal applications are unaffected — their subgoals continue to receive distinguishing suffixes. This may affect users whose proofs rely on the previous tag names (for example, `case h => ...` after `funext`). Such scripts need to be updated to use the input goal's tag instead. --------- Co-authored-by: Claude Opus 4.7 (1M context) <noreply@anthropic.com>
189 lines
3.2 KiB
Text
189 lines
3.2 KiB
Text
x y : Nat
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| p (x + y) (y + x + 0)
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x y : Nat
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| x + y = y + x + 0
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x y : Nat
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| x + y = y + x + 0
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x y : Nat
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⊢ x + y = y.add x
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case x
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x y : Nat
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⊢ x + y = y.add x
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a b : Nat
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| foo (0 + a) (b + 0)
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case x
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a b : Nat
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| 0 + a
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case y
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a b : Nat
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| b + 0
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a b : Nat
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| a
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case x
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a b : Nat
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| 0 + a
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case y
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a b : Nat
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| b + 0
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case x
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a b : Nat
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| 0 + a
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case x
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a b : Nat
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| a
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case y
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a b : Nat
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| b + 0
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a b : Nat
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| a + b
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case x
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a b : Nat
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| a
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case y
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a b : Nat
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| b
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x y : Nat
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⊢ x + y = y.add x
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x y : Nat
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⊢ x.add y = y.add x
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x y : Nat
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⊢ f x (x.add y) y = y + x
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x y : Nat
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| x + y
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a b : Nat
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| 0 + a + b
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a b : Nat
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| a + b
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a b : Nat
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| 0 + a + b
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p : Nat → Prop
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h : ∀ (a : Nat), p a
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x : Nat
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| p (id (0 + x))
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p : Nat → Prop
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h : ∀ (a : Nat), p a
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x : Nat
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| id (0 + x)
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p : Nat → Prop
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h : ∀ (a : Nat), p a
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x : Nat
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| 0 + x
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case h₁
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p : Prop
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x : Nat
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| x = x → p
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p : Prop
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x : Nat
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⊢ (True → p) → p
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x : Nat
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| 0 + x
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p : Prop
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x : Nat
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⊢ (True → p) → p
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x y : Nat
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f : Nat → Nat → Nat
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g : Nat → Nat
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h₁ : ∀ (z : Nat), f z z = z
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h₂ : ∀ (x y : Nat), f (g x) (g y) = y
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⊢ f (g y) (f (g x) (g (0 + x))) = x
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x y : Nat
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f : Nat → Nat → Nat
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g : Nat → Nat
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h₁ : ∀ (z : Nat), f z z = z
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h₂ : ∀ (x y : Nat), f (g x) (g y) = y
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⊢ f (g y) (f (g x) (g x)) = x
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x y : Nat
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h : y = 0
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| y + x
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p : Nat → Prop
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x y : Nat
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h1 : y = 0
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h2 : p x
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| y + x
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j : Fin 5
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p : (n : Nat) → Fin n → Prop
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i : Fin 5
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hp : p 5 i
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hi : j = i
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| j
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p : {x : Nat} → Nat → Prop
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x y : Nat
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h1 : y = 0
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h2 : p x
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| y
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p : {x : Nat} → Nat → Prop
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x y : Nat
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h1 : y = 0
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h2 : p x
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| y
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conv1.lean:221:10-221:13: error: invalid `lhs` tactic, application has 1 explicit argument(s) but the index is out of bounds
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conv1.lean:224:10-224:15: error: invalid `arg` tactic, application has 1 explicit argument(s) but the index is out of bounds
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conv1.lean:227:10-227:13: error: invalid `rhs` conv tactic, application or implication expected
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p
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conv1.lean:230:10-230:15: error: `arg` conv tactic failed, cannot select argument
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a✝ : Nat := 0
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b✝ : Nat := a✝
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| 0 = 0
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x y z : Nat
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| x + y + z
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x y z : Nat
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| x + y + z
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x y z : Nat
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| x + (y + z)
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x y z : Nat
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| x + y + z
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x y z : Nat
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| y + z
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x y z : Nat
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| y + z
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x y z : Nat
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| x + y + z
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x y z : Nat
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| x + y
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x y z : Nat
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| x + (y + z)
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x y z : Nat
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| x + y
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x y z : Nat
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| y + z
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conv1.lean:248:58-248:83: error: 'pattern' conv tactic failed, pattern was found only 4 times but 5 expected
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conv1.lean:249:58-249:85: error: 'pattern' conv tactic failed, pattern was found only 4 times but 5 expected
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conv1.lean:250:58-250:85: error: 'pattern' conv tactic failed, pattern was found only 3 times but 5 expected
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conv1.lean:251:58-251:87: error: 'pattern' conv tactic failed, pattern was found only 2 times but 5 expected
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P Q : Nat → Nat → Nat → Prop
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h : P = Q
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h2 : Q 1 2 3
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| P 1 2 3
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P Q : Nat → Nat → Nat → Prop
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h : P = Q
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h2 : Q 1 2 3
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| P 1 2
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P Q : Nat → Nat → Nat → Prop
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h : P = Q
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h2 : Q 1 2 3
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| P 1
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P Q : Nat → Nat → Nat → Prop
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h : P = Q
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h2 : Q 1 2 3
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| P
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conv1.lean:275:10-275:13: error: invalid 'fun' conv tactic, application expected
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p
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P Q : Nat → Nat → Nat → Prop
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h : P = Q
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h2 : Q 1 2 3
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| P 1 2 3
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P Q : Nat → Nat → Nat → Prop
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h : P = Q
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h2 : Q 1 2 3
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| P
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conv1.lean:287:10-287:15: error: invalid 'arg 0' conv tactic, application expected
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p
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