Nuprl Lemma : es-happened-before_wf
∀[f:Name ⟶ Type]. ∀[es:EO+(Message(f))]. ∀[S:EClass(Interface)]. ∀[e1,e2:E]. (e1 ⟶ e2 ∈ ℙ)
Proof
Definitions occuring in Statement :
es-happened-before: e1 ⟶ e2,
msg-interface: Interface,
Message: Message(f),
eclass: EClass(A[eo; e]),
event-ordering+: EO+(Info),
es-E: E,
name: Name,
uall: ∀[x:A]. B[x],
prop: ℙ,
member: t ∈ T,
function: x:A ⟶ B[x],
universe: Type
Definitions unfolded in proof :
all: ∀x:A. B[x],
member: t ∈ T,
subtype_rel: A ⊆r B,
strongwellfounded: SWellFounded(R[x; y]),
exists: ∃x:A. B[x],
uall: ∀[x:A]. B[x],
nat: ℕ,
implies: P ⇒ Q,
false: False,
ge: i ≥ j ,
uimplies: b supposing a,
satisfiable_int_formula: satisfiable_int_formula(fmla),
not: ¬A,
top: Top,
and: P ∧ Q,
prop: ℙ,
guard: {T},
int_seg: {i..j-},
lelt: i ≤ j < k,
le: A ≤ B,
less_than': less_than'(a;b),
decidable: Dec(P),
or: P ∨ Q,
less_than: a < b,
squash: ↓T,
es-happened-before: e1 ⟶ e2,
so_lambda: λ2x.t[x],
so_apply: x[s],
label: ...$L... t
Latex:
\mforall{}[f:Name {}\mrightarrow{} Type]. \mforall{}[es:EO+(Message(f))]. \mforall{}[S:EClass(Interface)]. \mforall{}[e1,e2:E]. (e1 {}\mrightarrow{} e2 \mmember{} \mBbbP{})
Date html generated:
2016_05_17-AM-09_04_22
Last ObjectModification:
2016_01_17-PM-08_33_56
Theory : messages
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