7 lines
645 B
Text
7 lines
645 B
Text
_root_.Formula.count_quantifiers._eq_1.{u_1} (x✝ : Nat) (f₁ f₂ : Formula x✝) :
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Formula.count_quantifiers (Formula.imp f₁ f₂) = Formula.count_quantifiers f₁ + Formula.count_quantifiers f₂
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_root_.Formula.count_quantifiers._eq_2.{u_1} (x✝ : Nat) (f : Formula (x✝ + 1)) :
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Formula.count_quantifiers (Formula.all f) = Formula.count_quantifiers f + 1
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_root_.Formula.count_quantifiers._eq_3.{u_1} (x✝ : Nat) (x✝¹ : Formula x✝)
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(x_4 : ∀ (f₁ f₂ : Formula x✝), x✝¹ = Formula.imp f₁ f₂ → False)
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(x_5 : ∀ (f : Formula (x✝ + 1)), x✝¹ = Formula.all f → False) : Formula.count_quantifiers x✝¹ = 0
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