Nuprl Lemma : first-eclass_wf
∀[Info,A:Type]. ∀[Xs:EClass(A) List]. (first-eclass(Xs) ∈ EClass(A))
Proof
Definitions occuring in Statement :
first-eclass: first-eclass(Xs),
eclass: EClass(A[eo; e]),
list: T List,
uall: ∀[x:A]. B[x],
member: t ∈ T,
universe: Type
Definitions unfolded in proof :
eclass: EClass(A[eo; e]),
uall: ∀[x:A]. B[x],
member: t ∈ T,
first-eclass: first-eclass(Xs),
subtype_rel: A ⊆r B,
so_lambda: λ2x y.t[x; y],
all: ∀x:A. B[x],
implies: P ⇒ Q,
bool: 𝔹,
unit: Unit,
it: ⋅,
btrue: tt,
ifthenelse: if b then t else f fi ,
bfalse: ff,
uiff: uiff(P;Q),
and: P ∧ Q,
uimplies: b supposing a,
exists: ∃x:A. B[x],
prop: ℙ,
or: P ∨ Q,
sq_type: SQType(T),
guard: {T},
bnot: ¬bb,
assert: ↑b,
false: False,
nat: ℕ,
so_apply: x[s1;s2]
Latex:
\mforall{}[Info,A:Type]. \mforall{}[Xs:EClass(A) List]. (first-eclass(Xs) \mmember{} EClass(A))
Date html generated:
2016_05_16-PM-10_34_09
Last ObjectModification:
2015_12_29-AM-11_00_06
Theory : event-ordering
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