Nuprl Lemma : cut-order-causle
∀[Info:Type]. ∀es:EO+(Info). ∀X:EClass(Top). ∀f:sys-antecedent(es;X). ∀b,a:E(X). a c≤ b supposing a ≤(X;f) b
Proof
Definitions occuring in Statement :
cut-order: a ≤(X;f) b,
sys-antecedent: sys-antecedent(es;Sys),
es-E-interface: E(X),
eclass: EClass(A[eo; e]),
event-ordering+: EO+(Info),
es-causle: e c≤ e',
uimplies: b supposing a,
uall: ∀[x:A]. B[x],
top: Top,
all: ∀x:A. B[x],
universe: Type
Definitions unfolded in proof :
uall: ∀[x:A]. B[x],
all: ∀x:A. B[x],
uimplies: b supposing a,
member: t ∈ T,
implies: P ⇒ Q,
subtype_rel: A ⊆r B,
strongwellfounded: SWellFounded(R[x; y]),
exists: ∃x:A. B[x],
guard: {T},
int_seg: {i..j-},
lelt: i ≤ j < k,
and: P ∧ Q,
satisfiable_int_formula: satisfiable_int_formula(fmla),
false: False,
not: ¬A,
top: Top,
prop: ℙ,
decidable: Dec(P),
or: P ∨ Q,
le: A ≤ B,
less_than': less_than'(a;b),
nat: ℕ,
es-E-interface: E(X),
ge: i ≥ j ,
less_than: a < b,
squash: ↓T,
iff: P ⇐⇒ Q,
so_lambda: λ2x.t[x],
so_apply: x[s],
so_lambda: λ2x y.t[x; y],
so_apply: x[s1;s2],
sys-antecedent: sys-antecedent(es;Sys)
Latex:
\mforall{}[Info:Type]
\mforall{}es:EO+(Info). \mforall{}X:EClass(Top). \mforall{}f:sys-antecedent(es;X). \mforall{}b,a:E(X). a c\mleq{} b supposing a \mleq{}(X;f) b
Date html generated:
2016_05_17-AM-07_43_35
Last ObjectModification:
2016_01_17-PM-02_49_20
Theory : event-ordering
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