Nuprl Lemma : ses-thread-subtype
∀[s:SES]. ∀[es:EO+(Info)]. (Thread ⊆r (E List))
Proof
Definitions occuring in Statement :
ses-thread: Thread,
ses-info: Info,
security-event-structure: SES,
event-ordering+: EO+(Info),
es-E: E,
list: T List,
subtype_rel: A ⊆r B,
uall: ∀[x:A]. B[x]
Definitions unfolded in proof :
uall: ∀[x:A]. B[x],
member: t ∈ T,
ses-thread: Thread,
subtype_rel: A ⊆r B,
so_lambda: λ2x.t[x],
int_seg: {i..j-},
uimplies: b supposing a,
guard: {T},
lelt: i ≤ j < k,
and: P ∧ Q,
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,
prop: ℙ,
less_than: a < b,
squash: ↓T,
uiff: uiff(P;Q),
ses-act: Act,
so_apply: x[s]
Latex:
\mforall{}[s:SES]. \mforall{}[es:EO+(Info)]. (Thread \msubseteq{}r (E List))
Date html generated:
2016_05_17-PM-00_30_10
Last ObjectModification:
2016_01_18-AM-07_43_18
Theory : event-logic-applications
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