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Signature symbols in this unit

Symbol Specification Kind Type
# .arrayfArray → Nat
. ( . )arraypfArray × Nat → Elem with λ ar, n. n < # ar
. ( . := . )arraypfArray × Nat × Elem → Array with λ ar, n, a. n < # ar
. + .nat-basicfNat × Nat → Nat
. +1nat-basicfNat → Nat
. - .natpfNat × Nat → Nat with λ n, m. n ≥ m
. -1nat-basicpfNat → Nat with λ n. n ≠ 0
. < .nat-basicpNat × Nat
. > .natpNat × Nat
. ≤ .natpNat × Nat
. ≥ .natpNat × Nat
Arrayarrays
Elemelems
Natnat-basics
aarray-copyvElem
ararray-copyvArray
cmparray-copypArray × Elem
cmparray-copyppArray × Nat × Array × Nat × Nat with λ ar, m, ar0, m0, n. m + n ≤ # ar ∧ m0 + n ≤ # ar0
cmparray-copyppArray × Elem × Nat × Nat with λ ar, a, m, n. m + n ≤ # ar
copyarray-copypfArray × Nat × Array × Nat × Nat → Array with λ ar, m, ar0, m0, n. m + n ≤ # ar ∧ m0 + n ≤ # ar0
copyAndFill#array-copyprNat × Nat × Nat × Elem : Array × Array
fillarray-copyfArray × Elem → Array
fillarray-copypfArray × Elem × Nat × Nat → Array with λ ar, a, n, m. n + m ≤ # ar
id○array-copypArray × Array × Nat
id○array-copypArray × Array × Nat × Nat
idrangearray-copyppArray × Nat × Nat with λ ar, m, n. m + n ≤ # ar
marray-copyvNat
mkarrayarrayfNat → Array
movearray-copypfArray × Nat × Nat × Nat → Array with λ ar, m, m0, n. m + n ≤ # ar ∧ m0 + n ≤ # ar
moveAndFill#array-copyprNat × Nat × Nat × Elem : Array
narray-copyvNat
resizearray-copyfArray × Nat → Array
rotateLeftarray-copypfArray × Nat × Nat × Nat → Array with λ ar, m, n, n0. m + n ≤ # ar ∧ n0 ≤ m
rotateRightarray-copypfArray × Nat × Nat × Nat → Array with λ ar, m, n, n0. m + n + n0 ≤ # ar
shiftLeftarray-copypfArray × Nat × Nat × Nat → Array with λ ar, m, n, n0. m + n ≤ # ar ∧ n0 ≤ m
shiftRightarray-copypfArray × Nat × Nat × Nat → Array with λ ar, m, n, n0. m + n + n0 ≤ # ar
subarrayarray-copypfArray × Nat × Nat → Array with λ ar, m, n. m + n ≤ # ar