MiniAgda by Andreas Abel and Karl Mehltretter
--- opening "streamIdentityNatRecursive.ma" ---
--- scope checking ---
--- type checking ---
type  SNat : + Size -> Set
term  SNat.zero : .[s!ze : Size] -> .[i < s!ze] -> SNat s!ze
term  SNat.zero : .[i : Size] -> < SNat.zero i : SNat $i >
term  SNat.succ : .[s!ze : Size] -> .[i < s!ze] -> ^ SNat i -> SNat s!ze
term  SNat.succ : .[i : Size] -> ^(y1 : SNat i) -> < SNat.succ i y1 : SNat $i >
type  Stream : - Size -> Set
term  Stream.cons : .[i : Size] -> ^(y1 : SNat #) -> ^(y2 : Stream i) -> < Stream.cons i y1 y2 : Stream $i >
term  sid : .[i : Size] -> SNat i -> .[j : Size] -> Stream j -> Stream j
{ sid [.$i] (SNat.zero [i]) [j] xs = xs
; sid [.$i] (SNat.succ [i] y) [j] xs = sid [i] y [j] xs
}
--- evaluating ---
--- closing "streamIdentityNatRecursive.ma" ---