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Signature symbols in this unit

Symbol	Specification	Kind	Type
# .	natset	f	Natset → Nat
# .	matrixops	f	Vector → Nat
#c .	matrix	f	Matrix → Nat
#r .	matrix	f	Matrix → Nat
. * .	ring	f	Elem × Elem → Elem
. * .	matrixops	pf	Matrix × Matrix → Matrix with λ mx1, mx2. #c mx1 = #r mx2
. * .	matrixops	pf	Matrix × Vector → Vector with λ mx, vec. #r mx = # vec
. * .	matrixops	pf	Vector × Matrix → Vector with λ vec, mx. #c mx = # vec
. * .	matrixops	pf	Vector × Vector → Elem with λ vec1, vec2. # vec1 = # vec2
. + .	nat-basic	f	Nat × Nat → Nat
. + .	ring	f	Elem × Elem → Elem
. + .	matrixops	pf	Matrix × Matrix → Matrix with λ mx1, mx2. #r mx1 = #r mx2 ∧ #c mx2 = #c mx2
. + .	matrixops	pf	Vector × Vector → Vector with λ vec1, vec2. # vec1 = # vec2
. ++ .	natset	f	Natset × Nat → Natset
. +1	nat-basic	f	Nat → Nat
. - .	nat	pf	Nat × Nat → Nat with λ n, m. n ≥ m
. -- .	natset	f	Natset × Nat → Natset
. -1	nat-basic	pf	Nat → Nat with λ n. n ≠ 0
. < .	nat-basic	p	Nat × Nat
. > .	nat	p	Nat × Nat
. [ . ]	matrix	pf	Matrix × Nat × Nat → Elem with λ mx, r, c. r < #r mx ∧ c < #c mx
. [ . ]	matrix	pf	Matrix × Nat × Nat × Elem → Matrix with λ mx, r, c, a. r < #r mx ∧ c < #c mx
. [ . ]	matrixops	pf	Vector × Nat → Elem with λ ar, n. n < # ar
. [ . ]	matrixops	pf	Vector × Nat × Elem → Vector with λ ar, n, a. n < # ar
. [ . ]c	matrixops	pf	Matrix × Nat → Vector with λ mx, c. c < #c mx
. [ . ]r	matrixops	pf	Matrix × Nat → Vector with λ mx, r. r < #r mx
. \ .	natset	f	Natset × Natset → Natset
. ∈ .	natset	p	Nat × Natset
. ∩ .	natset	f	Natset × Natset → Natset
. ∪ .	natset	f	Natset × Natset → Natset
. ≤ .	nat	p	Nat × Nat
. ≥ .	nat	p	Nat × Nat
. ⊆ .	natset	p	Natset × Natset
. to .	natset	f	Nat × Nat → Natset
{ . }	natset	f	Nat → Natset
Σ	matrixops	f	Natset × (Nat → Elem) → Elem
∅	natset	c	Natset
Elem	elem	s
I	ring	c	Elem
Matrix	matrix	s
Nat	nat-basic	s
Natset	natset	s
O	ring	c	Elem
O- .	ring	f	Elem → Elem
O- .	matrixops	f	Matrix → Matrix
O- .	matrixops	f	Vector → Vector
Vector	matrixops	s
a	matrixops	v	Elem
c	matrixops	v	Nat
disjoint	natset	p	Natset × Natset
f	matrixops	v	Nat → Elem
g	matrixops	v	Nat × Nat → Elem
m	matrixops	v	Nat
mkmatrix	matrix	f	Nat × Nat × Elem → Matrix
mkvector	matrixops	f	Nat → Vector
mx	matrixops	v	Matrix
n	matrixops	v	Nat
ns	matrixops	v	Natset
r	matrixops	v	Nat
vec	matrixops	v	Vector