Nuprl Lemma : matching-conversation_wf
∀[s:SES]. ∀[es:EO+(Info)]. ∀[thr1,thr2:Thread]. ∀[n:ℕ]. (MatchingConversation(n;thr1;thr2) ∈ ℙ)
Proof
Definitions occuring in Statement :
ses-thread: Thread,
matching-conversation: MatchingConversation(n;thr1;thr2),
ses-info: Info,
security-event-structure: SES,
event-ordering+: EO+(Info),
nat: ℕ,
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,
matching-conversation: MatchingConversation(n;thr1;thr2),
prop: ℙ,
and: P ∧ Q,
nat: ℕ,
subtype_rel: A ⊆r B,
so_lambda: λ2x y.t[x; y],
so_apply: x[s1;s2],
uimplies: b supposing a,
all: ∀x:A. B[x],
top: Top,
or: P ∨ Q,
ses-act: Act,
so_lambda: λ2x.t[x],
so_apply: x[s],
int_seg: {i..j-},
guard: {T},
lelt: i ≤ j < k,
decidable: Dec(P),
satisfiable_int_formula: satisfiable_int_formula(fmla),
exists: ∃x:A. B[x],
false: False,
implies: P ⇒ Q,
not: ¬A,
less_than: a < b,
squash: ↓T,
uiff: uiff(P;Q)
Latex:
\mforall{}[s:SES]. \mforall{}[es:EO+(Info)]. \mforall{}[thr1,thr2:Thread]. \mforall{}[n:\mBbbN{}]. (MatchingConversation(n;thr1;thr2) \mmember{} \mBbbP{})
Date html generated:
2016_05_17-PM-00_30_39
Last ObjectModification:
2016_01_18-AM-07_42_50
Theory : event-logic-applications
Home
Index