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Signature symbols in this unit

Symbol Specification Kind Type
# .arrayfArray → Nat
#c .matrixfMatrix → Nat
#r .matrixfMatrix → Nat
. ( . )matrixpfMatrix × Nat × Nat → Elem with λ mx, r, c. r < #r mx ∧ c < #c mx
. ( . )arraypfArray × Nat → Elem with λ ar, n. n < # ar
. ( . := . )matrixpfMatrix × Nat × Nat × Elem → Matrix with λ mx, r, c, a. r < #r mx ∧ c < #c mx
. ( . := . )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
. [ . ]cmatrix+arraypfMatrix × Nat → Array with λ mx, c. c < #c mx
. [ . ]rmatrix+arraypfMatrix × Nat → Array with λ mx, r. r < #r mx
. ≤ .natpNat × Nat
. ≥ .natpNat × Nat
Arrayarrays
Elemelems
Matrixmatrixs
Natnat-basics
cmatrix+arrayvNat
mkarrayarrayfNat → Array
mkmatrixmatrixfNat × Nat × Elem → Matrix
mxmatrix+arrayvMatrix
rmatrix+arrayvNat