Nuprl Lemma : fpf-dom-list_wf
∀[A:Type]. ∀[eq:EqDecider(A)]. ∀[f:a:A fp-> Top]. (fpf-dom-list(f) ∈ {a:A| ↑a ∈ dom(f)} List)
Proof
Definitions occuring in Statement :
fpf-dom-list: fpf-dom-list(f),
fpf-dom: x ∈ dom(f),
fpf: a:A fp-> B[a],
list: T List,
deq: EqDecider(T),
assert: ↑b,
uall: ∀[x:A]. B[x],
top: Top,
member: t ∈ T,
set: {x:A| B[x]} ,
universe: Type
Definitions unfolded in proof :
uall: ∀[x:A]. B[x],
member: t ∈ T,
fpf: a:A fp-> B[a],
fpf-dom-list: fpf-dom-list(f),
fpf-dom: x ∈ dom(f),
pi1: fst(t),
subtype_rel: A ⊆r B,
so_lambda: λ2x.t[x],
prop: ℙ,
so_apply: x[s],
uimplies: b supposing a,
all: ∀x:A. B[x],
implies: P ⇒ Q,
iff: P ⇐⇒ Q,
and: P ∧ Q,
rev_implies: P ⇐ Q
Latex:
\mforall{}[A:Type]. \mforall{}[eq:EqDecider(A)]. \mforall{}[f:a:A fp-> Top]. (fpf-dom-list(f) \mmember{} \{a:A| \muparrow{}a \mmember{} dom(f)\} List)
Date html generated:
2016_05_16-AM-11_32_49
Last ObjectModification:
2015_12_29-AM-09_28_36
Theory : event-ordering
Home
Index