Nuprl Lemma : fpf-single_wf2
∀[A,B:Type]. ∀[x:A]. ∀[v:B]. ∀[eqa:EqDecider(A)]. (x : v ∈ a:A fp-> x : B(a)?Top)
Proof
Definitions occuring in Statement :
fpf-single: x : v,
fpf-cap: f(x)?z,
fpf: a:A fp-> B[a],
deq: EqDecider(T),
uall: ∀[x:A]. B[x],
top: Top,
member: t ∈ T,
universe: Type
Definitions unfolded in proof :
uall: ∀[x:A]. B[x],
member: t ∈ T,
so_lambda: λ2x.t[x],
so_apply: x[s],
subtype_rel: A ⊆r B,
fpf-cap: f(x)?z,
ifthenelse: if b then t else f fi ,
all: ∀x:A. B[x],
implies: P ⇒ Q,
bool: 𝔹,
fpf-ap: f(x),
pi2: snd(t),
fpf-single: x : v,
top: Top,
fpf: a:A fp-> B[a],
prop: ℙ,
uimplies: b supposing a,
unit: Unit,
it: ⋅,
btrue: tt,
bfalse: ff,
uiff: uiff(P;Q),
and: P ∧ Q,
exists: ∃x:A. B[x],
or: P ∨ Q,
sq_type: SQType(T),
guard: {T},
bnot: ¬bb,
assert: ↑b,
false: False
Latex:
\mforall{}[A,B:Type]. \mforall{}[x:A]. \mforall{}[v:B]. \mforall{}[eqa:EqDecider(A)]. (x : v \mmember{} a:A fp-> x : B(a)?Top)
Date html generated:
2016_05_16-AM-11_15_57
Last ObjectModification:
2015_12_29-AM-09_21_21
Theory : event-ordering
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