Nuprl Lemma : fpf-single-valued_wf
∀[A,V:Type]. ∀[B:A ⟶ Type].
∀[eq:EqDecider(A)]. ∀[g:x:A fp-> B[x] List]. (fpf-single-valued(A;eq;x.B[x];V;g) ∈ ℙ) supposing ∀a:A. (B[a] ⊆r V)
Proof
Definitions occuring in Statement :
fpf-single-valued: fpf-single-valued(A;eq;x.B[x];V;g),
fpf: a:A fp-> B[a],
list: T List,
deq: EqDecider(T),
uimplies: b supposing a,
subtype_rel: A ⊆r B,
uall: ∀[x:A]. B[x],
prop: ℙ,
so_apply: x[s],
all: ∀x:A. B[x],
member: t ∈ T,
function: x:A ⟶ B[x],
universe: Type
Definitions unfolded in proof :
uall: ∀[x:A]. B[x],
member: t ∈ T,
uimplies: b supposing a,
fpf-single-valued: fpf-single-valued(A;eq;x.B[x];V;g),
so_lambda: λ2x.t[x],
implies: P ⇒ Q,
prop: ℙ,
subtype_rel: A ⊆r B,
so_apply: x[s],
all: ∀x:A. B[x],
top: Top
Latex:
\mforall{}[A,V:Type]. \mforall{}[B:A {}\mrightarrow{} Type].
\mforall{}[eq:EqDecider(A)]. \mforall{}[g:x:A fp-> B[x] List]. (fpf-single-valued(A;eq;x.B[x];V;g) \mmember{} \mBbbP{})
supposing \mforall{}a:A. (B[a] \msubseteq{}r V)
Date html generated:
2016_05_16-AM-11_05_53
Last ObjectModification:
2015_12_29-AM-09_13_47
Theory : event-ordering
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