Nuprl Definition : mprime
IsPrime(a) == (¬(g-unit(a))) ∧ (∀b,c:|g|. ((a | (b * c)) ⇒ ((a | b) ∨ (a | c))))
Definitions occuring in Statement :
munit: g-unit(u),
mdivides: b | a,
infix_ap: x f y,
all: ∀x:A. B[x],
not: ¬A,
implies: P ⇒ Q,
or: P ∨ Q,
and: P ∧ Q,
grp_op: *,
grp_car: |g|
Definitions occuring in definition :
and: P ∧ Q,
not: ¬A,
munit: g-unit(u),
all: ∀x:A. B[x],
grp_car: |g|,
implies: P ⇒ Q,
infix_ap: x f y,
grp_op: *,
or: P ∨ Q,
mdivides: b | a
Latex:
IsPrime(a) == (\mneg{}(g-unit(a))) \mwedge{} (\mforall{}b,c:|g|. ((a | (b * c)) {}\mRightarrow{} ((a | b) \mvee{} (a | c))))
Date html generated:
2016_05_16-AM-07_43_50
Last ObjectModification:
2015_09_23-AM-09_51_51
Theory : factor_1
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