Nuprl Lemma : ses-thread-member_wf
∀[s:SES]. ∀[es:EO+(Info)]. ∀[e:Act]. ∀[thr:Thread]. (e ∈ thr ∈ ℙ)
Proof
Definitions occuring in Statement :
ses-thread-member: e ∈ thr,
ses-thread: Thread,
ses-act: Act,
ses-info: Info,
security-event-structure: SES,
event-ordering+: EO+(Info),
uall: ∀[x:A]. B[x],
prop: ℙ,
member: t ∈ T
Definitions unfolded in proof :
ses-thread: Thread,
uall: ∀[x:A]. B[x],
member: t ∈ T,
ses-thread-member: e ∈ thr,
so_lambda: λ2x.t[x],
subtype_rel: A ⊆r B,
ses-act: Act,
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,
so_apply: x[s],
uiff: uiff(P;Q)
Latex:
\mforall{}[s:SES]. \mforall{}[es:EO+(Info)]. \mforall{}[e:Act]. \mforall{}[thr:Thread]. (e \mmember{} thr \mmember{} \mBbbP{})
Date html generated:
2016_05_17-PM-00_30_51
Last ObjectModification:
2016_01_18-AM-07_42_44
Theory : event-logic-applications
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