2013-11-17 02:21:42 +00:00
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Set: pp::colors
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Set: pp::unicode
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Assumed: i
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Assumed: j
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Assumed: p
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2013-11-27 20:19:54 +00:00
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elaborator exception
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2013-11-17 02:21:42 +00:00
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Failed to solve
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⊢ (?M::0 ≈ Nat::add) ⊕ (?M::0 ≈ Int::add) ⊕ (?M::0 ≈ Real::add)
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2013-11-27 20:19:54 +00:00
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Overloading at
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(Real::add | Int::add | Nat::add) i p
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Failed to solve
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⊢ (?M::1 ≈ λ x : ℤ, x) ⊕ (?M::1 ≈ int_to_real)
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Coercion for
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i
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Failed to solve
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⊢ ℤ ≺ ℕ
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Substitution
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⊢ ℤ ≺ ?M::6
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Substitution
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⊢ (?M::5[inst:0 i]) i ≺ ?M::6
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Type of argument 1 must be convertible to the expected type in the application of
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?M::0
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with arguments:
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?M::1 i
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p
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Assignment
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x : ℤ ⊢ λ x : ℤ, ℤ ≈ ?M::5
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Destruct/Decompose
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x : ℤ ⊢ ℤ ≈ ?M::5 x
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Destruct/Decompose
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⊢ ℤ → ℤ ≈ Π x : ?M::4, ?M::5 x
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Substitution
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⊢ ?M::3 ≈ Π x : ?M::4, ?M::5 x
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Function expected at
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?M::1 i
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Assignment
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⊢ ℤ → ℤ ≺ ?M::3
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Propagate type, ?M::1 : ?M::3
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Assignment
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⊢ ?M::1 ≈ λ x : ℤ, x
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Assumption 1
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Assignment
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⊢ ℕ ≈ ?M::6
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Destruct/Decompose
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⊢ ℕ → ℕ → ℕ ≈ Π x : ?M::6, ?M::7 x
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Substitution
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⊢ ?M::2 ≈ Π x : ?M::6, ?M::7 x
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Function expected at
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?M::0 (?M::1 i) p
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Assignment
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⊢ ℕ → ℕ → ℕ ≺ ?M::2
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Propagate type, ?M::0 : ?M::2
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Assignment
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⊢ ?M::0 ≈ Nat::add
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Assumption 0
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Failed to solve
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⊢ ℝ ≺ ℕ
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Substitution
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⊢ ℝ ≺ ?M::6
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Substitution
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⊢ (?M::5[inst:0 i]) i ≺ ?M::6
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Type of argument 1 must be convertible to the expected type in the application of
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?M::0
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with arguments:
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?M::1 i
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p
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Assignment
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_ : ℤ ⊢ λ x : ℤ, ℝ ≈ ?M::5
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Destruct/Decompose
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_ : ℤ ⊢ ℝ ≈ ?M::5 _
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Destruct/Decompose
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⊢ ℤ → ℝ ≈ Π x : ?M::4, ?M::5 x
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Substitution
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⊢ ?M::3 ≈ Π x : ?M::4, ?M::5 x
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Function expected at
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?M::1 i
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Assignment
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⊢ ℤ → ℝ ≺ ?M::3
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Propagate type, ?M::1 : ?M::3
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Assignment
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⊢ ?M::1 ≈ int_to_real
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Assumption 2
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Assignment
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⊢ ℕ ≈ ?M::6
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Destruct/Decompose
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⊢ ℕ → ℕ → ℕ ≈ Π x : ?M::6, ?M::7 x
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Substitution
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⊢ ?M::2 ≈ Π x : ?M::6, ?M::7 x
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Function expected at
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?M::0 (?M::1 i) p
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Assignment
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⊢ ℕ → ℕ → ℕ ≺ ?M::2
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Propagate type, ?M::0 : ?M::2
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Assignment
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⊢ ?M::0 ≈ Nat::add
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Assumption 0
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Failed to solve
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⊢ Bool ≺ ℤ
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Substitution
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⊢ Bool ≺ ?M::8
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Type of argument 2 must be convertible to the expected type in the application of
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?M::0
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with arguments:
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?M::1 i
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p
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Assignment
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⊢ ℤ ≈ ?M::8
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Destruct/Decompose
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⊢ ℤ → ℤ ≈ Π x : ?M::8, ?M::9 x
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Substitution
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⊢ (?M::7[inst:0 (?M::1 i)]) (?M::1 i) ≈ Π x : ?M::8, ?M::9 x
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Function expected at
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?M::0 (?M::1 i) p
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Assignment
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_ : ℤ ⊢ λ x : ℤ, ℤ → ℤ ≈ ?M::7
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Destruct/Decompose
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_ : ℤ ⊢ ℤ → ℤ ≈ ?M::7 _
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Destruct/Decompose
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⊢ ℤ → ℤ → ℤ ≈ Π x : ?M::6, ?M::7 x
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Substitution
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⊢ ?M::2 ≈ Π x : ?M::6, ?M::7 x
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Function expected at
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?M::0 (?M::1 i) p
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Assignment
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⊢ ℤ → ℤ → ℤ ≺ ?M::2
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Propagate type, ?M::0 : ?M::2
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Assignment
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⊢ ?M::0 ≈ Int::add
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Assumption 3
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Failed to solve
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⊢ Bool ≺ ℝ
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Substitution
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⊢ Bool ≺ ?M::8
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Type of argument 2 must be convertible to the expected type in the application of
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?M::0
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with arguments:
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?M::1 i
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p
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Assignment
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⊢ ℝ ≈ ?M::8
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Destruct/Decompose
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⊢ ℝ → ℝ ≈ Π x : ?M::8, ?M::9 x
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Substitution
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⊢ (?M::7[inst:0 (?M::1 i)]) (?M::1 i) ≈ Π x : ?M::8, ?M::9 x
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Function expected at
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?M::0 (?M::1 i) p
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Assignment
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_ : ℝ ⊢ λ x : ℝ, ℝ → ℝ ≈ ?M::7
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Destruct/Decompose
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_ : ℝ ⊢ ℝ → ℝ ≈ ?M::7 _
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Destruct/Decompose
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⊢ ℝ → ℝ → ℝ ≈ Π x : ?M::6, ?M::7 x
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Substitution
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⊢ ?M::2 ≈ Π x : ?M::6, ?M::7 x
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Function expected at
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?M::0 (?M::1 i) p
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Assignment
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⊢ ℝ → ℝ → ℝ ≺ ?M::2
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Propagate type, ?M::0 : ?M::2
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Assignment
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⊢ ?M::0 ≈ Real::add
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Assumption 5
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