Nuprl Lemma : sequence-class_wf
∀[Info,A,B:Type]. ∀[X:EClass(A)]. ∀[Y:EClass(B)]. ∀[Z:EClass(A)]. (sequence-class(X;Y;Z) ∈ EClass(A))
Proof
Definitions occuring in Statement :
sequence-class: sequence-class(X;Y;Z),
eclass: EClass(A[eo; e]),
uall: ∀[x:A]. B[x],
member: t ∈ T,
universe: Type
Definitions unfolded in proof :
uall: ∀[x:A]. B[x],
member: t ∈ T,
sequence-class: sequence-class(X;Y;Z),
eclass: EClass(A[eo; e]),
subtype_rel: A ⊆r B,
prop: ℙ,
so_lambda: λ2x.t[x],
and: P ∧ Q,
all: ∀x:A. B[x],
implies: P ⇒ Q,
bool: 𝔹,
unit: Unit,
it: ⋅,
btrue: tt,
band: p ∧b q,
ifthenelse: if b then t else f fi ,
uiff: uiff(P;Q),
uimplies: b supposing a,
exists: ∃x:A. B[x],
or: P ∨ Q,
sq_type: SQType(T),
guard: {T},
bnot: ¬bb,
assert: ↑b,
bfalse: ff,
false: False,
so_apply: x[s],
sq_exists: ∃x:{A| B[x]},
squash: ↓T,
so_lambda: λ2x y.t[x; y],
so_apply: x[s1;s2]
Latex:
\mforall{}[Info,A,B:Type]. \mforall{}[X:EClass(A)]. \mforall{}[Y:EClass(B)]. \mforall{}[Z:EClass(A)].
(sequence-class(X;Y;Z) \mmember{} EClass(A))
Date html generated:
2016_05_17-AM-00_24_24
Last ObjectModification:
2015_12_29-AM-00_45_39
Theory : event-ordering
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