Nuprl Lemma : subtype_rel_header-type-spec
∀[L:Name List]. ∀[g:Name ⟶ Type]. (header-type-spec{i:l}(L;g) ⊆r header-type-spec{i':l}(L; g))
Proof
Definitions occuring in Statement :
header-type-spec: header-type-spec{i:l}(L;g),
name: Name,
list: T List,
subtype_rel: A ⊆r B,
uall: ∀[x:A]. B[x],
function: x:A ⟶ B[x],
universe: Type
Definitions unfolded in proof :
uall: ∀[x:A]. B[x],
member: t ∈ T,
header-type-spec: header-type-spec{i:l}(L;g),
l_all: (∀x∈L.P[x]),
so_lambda: λ2x.t[x],
prop: ℙ,
and: P ∧ Q,
subtype_rel: A ⊆r B,
int_seg: {i..j-},
uimplies: b supposing a,
guard: {T},
lelt: i ≤ j < k,
all: ∀x:A. B[x],
decidable: Dec(P),
or: P ∨ Q,
satisfiable_int_formula: satisfiable_int_formula(fmla),
exists: ∃x:A. B[x],
false: False,
implies: P ⇒ Q,
not: ¬A,
top: Top,
less_than: a < b,
squash: ↓T,
so_apply: x[s],
cand: A c∧ B
Latex:
\mforall{}[L:Name List]. \mforall{}[g:Name {}\mrightarrow{} Type]. (header-type-spec\{i:l\}(L;g) \msubseteq{}r header-type-spec\{i':l\}(L; g))
Date html generated:
2016_05_17-AM-08_49_58
Last ObjectModification:
2016_01_17-PM-08_35_21
Theory : messages
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