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Signature symbols in this unit

Symbol Specification Kind Type
# .arrayfArray[A] → Nat
#x .cubefCube[A] → Nat
#y .cubefCube[A] → Nat
#z .cubefCube[A] → Nat
. ( . )cubepfCube[A] × Nat × Nat × Nat → A with λ cu, nx, ny, nz. nx < #x cu ∧ ny < #y cu ∧ nz < #z cu
. ( . )arraypfArray[A] × Nat → A with λ ar, n. n < # ar
. ( . := . )cubepfCube[A] × Nat × Nat × Nat × A → Cube[A] with λ cu, nx, ny, nz, a. nx < #x cu ∧ ny < #y cu ∧ nz < #z cu
. ( . := . )arraypfArray[A] × Nat × A → Array[A] 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
. [ . ]xycube+arraypfCube[A] × Nat × Nat → Array[A] with λ cu, nx, ny. nx < #x cu ∧ ny < #y cu
. [ . ]xzcube+arraypfCube[A] × Nat × Nat → Array[A] with λ cu, nx, nz. nx < #x cu ∧ nz < #z cu
. [ . ]yzcube+arraypfCube[A] × Nat × Nat → Array[A] with λ cu, ny, nz. ny < #y cu ∧ nz < #z cu
. ≤ .natpNat × Nat
. ≥ .natpNat × Nat
Arrayarrays
Cubecubes
Natnat-basics
cucube+arrayvCube[A]
mkarrayarrayfNat → Array[A]
mkarrayarrayfNat × A → Array[A]
mkcubecubefNat × Nat × Nat × A → Cube[A]
nxcube+arrayvNat
nycube+arrayvNat
nzcube+arrayvNat