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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
I	ring	c	elem
O	ring	c	elem
O- .	ring	f	elem → elem
O- .	matrixops	f	matrix → matrix
O- .	matrixops	f	vector → vector
a	matrixops	v	elem
c	matrixops	v	nat
elem	elem	s
f	matrixops	v	nat → elem
g	matrixops	v	nat × nat → elem
m	matrixops	v	nat
matrix	matrix	s
mkmatrix	matrix	f	nat × nat × elem → matrix
mkvector	matrixops	f	nat → vector
mx	matrixops	v	matrix
n	matrixops	v	nat
nat	nat-basic	s
natset	natset	s
ns	matrixops	v	natset
r	matrixops	v	nat
vec	matrixops	v	vector
vector	matrixops	s