Nuprl Lemma : base-class-program_wf
∀[f:Name ⟶ Type]. ∀[hdr:Name]. ∀[T:Type]. base-class-program(hdr) ∈ LocalClass(Base(hdr)) supposing hdr encodes T
Proof
Definitions occuring in Statement :
base-class-program: base-class-program(hdr),
base-headers-msg-val: Base(hdr),
encodes-msg-type: hdr encodes T,
Message: Message(f),
local-class: LocalClass(X),
name: Name,
uimplies: b supposing a,
uall: ∀[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,
base-class-program: base-class-program(hdr),
local-class: LocalClass(X),
sq_exists: ∃x:{A| B[x]},
so_lambda: λ2x.t[x],
so_apply: x[s],
all: ∀x:A. B[x],
subtype_rel: A ⊆r B,
implies: P ⇒ Q,
top: Top,
pi1: fst(t),
hdf-ap: X(a),
hdf-base: hdf-base(m.F[m]),
mk-hdf: mk-hdf(s,m.G[s; m];st.H[st];s0),
ifthenelse: if b then t else f fi ,
bfalse: ff,
hdf-run: hdf-run(P),
prop: ℙ,
base-headers-msg-val: Base(hdr),
class-ap: X(e),
pi2: snd(t),
encodes-msg-type: hdr encodes T
Latex:
\mforall{}[f:Name {}\mrightarrow{} Type]. \mforall{}[hdr:Name]. \mforall{}[T:Type].
base-class-program(hdr) \mmember{} LocalClass(Base(hdr)) supposing hdr encodes T
Date html generated:
2016_05_17-AM-09_07_56
Last ObjectModification:
2015_12_29-PM-03_36_30
Theory : local!classes
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