27 lines
800 B
Text
27 lines
800 B
Text
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import logic
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open eq.ops
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set_option elaborator.calc_assistant false
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theorem tst1 (a b c : num) (H₁ : ∀ x, b = x) (H₂ : c = b) : a = c :=
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calc a = b : H₁ -- error because calc assistant is off
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... = c : H₂
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theorem tst2 (a b c : num) (H₁ : ∀ x, b = x) (H₂ : c = b) : a = c :=
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calc a = b : !H₁⁻¹
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... = c : H₂ -- error because calc assistant is off
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theorem tst3 (a b c : num) (H₁ : ∀ x, b = x) (H₂ : c = b) : a = c :=
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calc a = b : !H₁⁻¹
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... = c : H₂⁻¹
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theorem tst4 (a b c : num) (H₁ : ∀ x, b = x) (H₂ : c = b) : a = c :=
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calc a = b : eq.symm (H₁ a)
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... = c : eq.symm H₂
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set_option elaborator.calc_assistant true
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theorem tst5 (a b c : num) (H₁ : ∀ x, b = x) (H₂ : c = b) : a = c :=
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calc a = b : H₁
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... = c : H₂
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