Nuprl Definition : strict1
strict1(F) ==
(∀x:Base. ((F x)↓ ⇒ (x)↓))
∧ (∀u,v:Base. (F (exception(u; v)) ~ exception(u; v)))
∧ (∀x:Base. (is-exception(F x) ⇒ (↓(x)↓ ∨ is-exception(x))))
Definitions occuring in Statement :
has-value: (a)↓,
is-exception: is-exception(t),
all: ∀x:A. B[x],
squash: ↓T,
implies: P ⇒ Q,
or: P ∨ Q,
and: P ∧ Q,
apply: f a,
base: Base,
sqequal: s ~ t
Definitions occuring in definition :
and: P ∧ Q,
sqequal: s ~ t,
all: ∀x:A. B[x],
base: Base,
implies: P ⇒ Q,
apply: f a,
squash: ↓T,
or: P ∨ Q,
has-value: (a)↓,
is-exception: is-exception(t)
FDL editor aliases :
strict1
Latex:
strict1(F) ==
(\mforall{}x:Base. ((F x)\mdownarrow{} {}\mRightarrow{} (x)\mdownarrow{}))
\mwedge{} (\mforall{}u,v:Base. (F (exception(u; v)) \msim{} exception(u; v)))
\mwedge{} (\mforall{}x:Base. (is-exception(F x) {}\mRightarrow{} (\mdownarrow{}(x)\mdownarrow{} \mvee{} is-exception(x))))
Date html generated:
2016_05_13-PM-03_23_38
Last ObjectModification:
2015_09_22-PM-05_44_38
Theory : call!by!value_1
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