Nuprl Lemma : es-functional-class-implies-at
∀[Info,T:Type]. ∀[es:EO+(Info)]. ∀[X:EClass(T)]. ∀[e:E]. X is functional at e supposing X is functional
Proof
Definitions occuring in Statement :
es-functional-class-at: X is functional at e,
es-functional-class: X is functional,
eclass: EClass(A[eo; e]),
event-ordering+: EO+(Info),
es-E: E,
uimplies: b supposing a,
uall: ∀[x:A]. B[x],
universe: Type
Definitions unfolded in proof :
uall: ∀[x:A]. B[x],
member: t ∈ T,
uimplies: b supposing a,
es-functional-class: X is functional,
and: P ∧ Q,
es-functional-class-at: X is functional at e,
iff: P ⇐⇒ Q,
rev_implies: P ⇐ Q,
implies: P ⇒ Q,
es-total-class: es-total-class(es;X),
all: ∀x:A. B[x],
classrel: v ∈ X(e),
class-ap: X(e),
uiff: uiff(P;Q),
subtype_rel: A ⊆r B,
nat: ℕ,
decidable: Dec(P),
or: P ∨ Q,
le: A ≤ B,
satisfiable_int_formula: satisfiable_int_formula(fmla),
exists: ∃x:A. B[x],
false: False,
not: ¬A,
top: Top,
prop: ℙ,
single-valued-classrel: single-valued-classrel(es;X;T),
so_lambda: λ2x y.t[x; y],
so_apply: x[s1;s2]
Latex:
\mforall{}[Info,T:Type]. \mforall{}[es:EO+(Info)]. \mforall{}[X:EClass(T)].
\mforall{}[e:E]. X is functional at e supposing X is functional
Date html generated:
2016_05_16-PM-01_43_31
Last ObjectModification:
2016_01_17-PM-07_51_06
Theory : event-ordering
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