Nuprl Lemma : map-sig_wf
∀[Key,Value:Type]. (map-sig{i:l}(Key;Value) ∈ 𝕌')
Proof
Definitions occuring in Statement :
map-sig: map-sig{i:l}(Key;Value),
uall: ∀[x:A]. B[x],
member: t ∈ T,
universe: Type
Definitions unfolded in proof :
uall: ∀[x:A]. B[x],
member: t ∈ T,
map-sig: map-sig{i:l}(Key;Value),
so_lambda: λ2x.t[x],
so_apply: x[s],
record: record(x.T[x]),
uimplies: b supposing a,
record+: record+,
record-select: r.x,
subtype_rel: A ⊆r B,
eq_atom: x =a y,
ifthenelse: if b then t else f fi ,
btrue: tt,
guard: {T},
prop: ℙ,
iff: P ⇐⇒ Q,
all: ∀x:A. B[x],
rev_implies: P ⇐ Q,
implies: P ⇒ Q,
and: P ∧ Q,
deq: EqDecider(T),
bool: 𝔹,
unit: Unit,
it: ⋅,
uiff: uiff(P;Q),
bfalse: ff,
exists: ∃x:A. B[x],
or: P ∨ Q,
sq_type: SQType(T),
bnot: ¬bb,
assert: ↑b,
false: False,
band: p ∧b q,
not: ¬A,
cand: A c∧ B,
exposed-bfalse: exposed-bfalse
Latex:
\mforall{}[Key,Value:Type]. (map-sig\{i:l\}(Key;Value) \mmember{} \mBbbU{}')
Date html generated:
2016_05_17-PM-01_46_35
Last ObjectModification:
2015_12_28-PM-08_52_32
Theory : datatype-signatures
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