Nuprl Definition : rational-cube-complex
n-dim-complex == {L:ℚCube(k) List| no_repeats(ℚCube(k);L) ∧ (∀c,d∈L. Compatible(c;d)) ∧ (∀c∈L.dim(c) = n ∈ ℤ)}
Definitions occuring in Statement :
compatible-rat-cubes: Compatible(c;d),
rat-cube-dimension: dim(c),
rational-cube: ℚCube(k),
pairwise: (∀x,y∈L. P[x; y]),
l_all: (∀x∈L.P[x]),
no_repeats: no_repeats(T;l),
list: T List,
and: P ∧ Q,
set: {x:A| B[x]} ,
int: ℤ,
equal: s = t ∈ T
Definitions occuring in definition :
rat-cube-dimension: dim(c),
int: ℤ,
equal: s = t ∈ T,
l_all: (∀x∈L.P[x]),
compatible-rat-cubes: Compatible(c;d),
pairwise: (∀x,y∈L. P[x; y]),
and: P ∧ Q,
rational-cube: ℚCube(k),
no_repeats: no_repeats(T;l),
list: T List,
set: {x:A| B[x]}
FDL editor aliases :
rc-complex
rc-complex
rc-complex
Latex:
n-dim-complex ==
\{L:\mBbbQ{}Cube(k) List| no\_repeats(\mBbbQ{}Cube(k);L) \mwedge{} (\mforall{}c,d\mmember{}L. Compatible(c;d)) \mwedge{} (\mforall{}c\mmember{}L.dim(c) = n)\}
Date html generated:
2019_10_29-AM-07_55_29
Last ObjectModification:
2019_10_17-PM-04_47_49
Theory : rationals
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