fix indentation on 736 to fix partial codeblocks
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1 changed files with 7 additions and 7 deletions
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@ -733,13 +733,13 @@ The proof is by induction on the term `M`.
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* If `x = S y`, we obtain the goal by the following equational reasoning.
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exts (exts σ) (ext ρ (S y))
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≡ rename S_ (exts σ (ρ y))
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≡ rename S_ (rename S_ (σ (ρ y) (by the premise)
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≡ rename (ext ρ) (exts σ (S y)) (by compose-rename)
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≡ rename ((ext ρ) ∘ S_) (σ y)
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≡ rename (ext ρ) (rename S_ (σ y)) (by compose-rename)
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≡ rename (ext ρ) (exts σ (S y))
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exts (exts σ) (ext ρ (S y))
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≡ rename S_ (exts σ (ρ y))
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≡ rename S_ (rename S_ (σ (ρ y) (by the premise)
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≡ rename (ext ρ) (exts σ (S y)) (by compose-rename)
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≡ rename ((ext ρ) ∘ S_) (σ y)
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≡ rename (ext ρ) (rename S_ (σ y)) (by compose-rename)
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≡ rename (ext ρ) (exts σ (S y))
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* If `M` is an application, we obtain the goal using the induction
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hypothesis for each subterm.
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