Nuprl Lemma : once-once-class
∀[Info,A:Type]. ∀[X:EClass(A)]. (((X once) once) = (X once) ∈ EClass(A))
Proof
Definitions occuring in Statement :
once-class: (X once),
eclass: EClass(A[eo; e]),
uall: ∀[x:A]. B[x],
universe: Type,
equal: s = t ∈ T
Definitions unfolded in proof :
once-class: (X once),
uall: ∀[x:A]. B[x],
member: t ∈ T,
until-class: (X until Y),
eclass: EClass(A[eo; e]),
all: ∀x:A. B[x],
subtype_rel: A ⊆r B,
so_lambda: λ2x y.t[x; y],
so_apply: x[s1;s2],
uimplies: b supposing a,
top: Top,
or: P ∨ Q,
and: P ∧ Q,
existse-before: ∃e<e'.P[e],
exists: ∃x:A. B[x],
cand: A c∧ B,
squash: ↓T,
prop: ℙ,
false: False,
iff: P ⇐⇒ Q,
implies: P ⇒ Q,
alle-lt: ∀e<e'.P[e],
guard: {T},
not: ¬A
Latex:
\mforall{}[Info,A:Type]. \mforall{}[X:EClass(A)]. (((X once) once) = (X once))
Date html generated:
2016_05_16-PM-11_21_13
Last ObjectModification:
2015_12_29-AM-10_27_35
Theory : event-ordering
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