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1 whileLoopPwP' : {l : Level} {t : Set l} → (n : ℕ) → (env : Envc )
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2 → (n ≡ varn env) → whileTestStateP s2 env
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3 → (next : (env : Envc ) → (pred n ≡ varn env) → whileTestStateP s2 env → t)
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4 → (exit : (env : Envc ) → whileTestStateP sf env → t) → t
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5 whileLoopPwP' zero env refl refl _ exit = exit env refl
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6 whileLoopPwP' (suc n) env refl refl next _ =
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7 next (record env {varn = pred (varn env) ; vari = suc (vari env) }) refl (+-suc n (vari env))
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8
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9
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10 loopPwP' : {l : Level} {t : Set l} → (n : ℕ) → (env : Envc )
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11 → (n ≡ varn env) → whileTestStateP s2 env
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12 → (exit : (env : Envc ) → whileTestStateP sf env → t) → t
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13 loopPwP' zero env refl refl exit = exit env refl
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14 loopPwP' (suc n) env refl refl exit
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15 = whileLoopPwP' (suc n) env refl refl (λ env x y → loopPwP' n env x y exit) exit
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