Nuprl Lemma : interface-cmp_wf
∀[f:Name ⟶ Type]. ∀[locs:Id List]. ∀[hdrs:Name List]. ∀[mcmp:hdr:Name ⟶ comparison(f hdr)].
(interface-cmp(mcmp;locs;hdrs) ∈ comparison(Interface(to locs, with hdrs)))
Proof
Definitions occuring in Statement :
interface-cmp: interface-cmp(mcmp;locs;hdrs),
constrained-msg-interface: Interface(to locs, with hdrs),
Id: Id,
name: Name,
comparison: comparison(T),
list: T List,
uall: ∀[x:A]. B[x],
member: t ∈ T,
apply: f a,
function: x:A ⟶ B[x],
universe: Type
Definitions unfolded in proof :
uall: ∀[x:A]. B[x],
member: t ∈ T,
constrained-msg-interface: Interface(to locs, with hdrs),
subtype_rel: A ⊆r B,
prop: ℙ,
uimplies: b supposing a,
and: P ∧ Q,
cand: A c∧ B,
interface-cmp: interface-cmp(mcmp;locs;hdrs),
all: ∀x:A. B[x]
Latex:
\mforall{}[f:Name {}\mrightarrow{} Type]. \mforall{}[locs:Id List]. \mforall{}[hdrs:Name List]. \mforall{}[mcmp:hdr:Name {}\mrightarrow{} comparison(f hdr)].
(interface-cmp(mcmp;locs;hdrs) \mmember{} comparison(Interface(to locs, with hdrs)))
Date html generated:
2016_05_17-AM-09_03_48
Last ObjectModification:
2015_12_29-PM-02_50_58
Theory : messages
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