Nuprl Lemma : iterate-null-process
∀[n:Top]. ∀[inputs:Top List].  (null-process(n)*(inputs) ~ null-process(n))
Proof
Definitions occuring in Statement : 
iterate-process: P*(inputs)
, 
null-process: null-process(n)
, 
list: T List
, 
uall: ∀[x:A]. B[x]
, 
top: Top
, 
sqequal: s ~ t
Definitions unfolded in proof : 
null-process: null-process(n)
, 
iterate-process: P*(inputs)
, 
rec-process: RecProcess(s0;s,m.next[s; m])
, 
uall: ∀[x:A]. B[x]
, 
member: t ∈ T
, 
all: ∀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)
, 
exists: ∃x:A. B[x]
, 
not: ¬A
, 
top: Top
, 
and: P ∧ Q
, 
prop: ℙ
, 
subtype_rel: A ⊆r B
, 
or: P ∨ Q
, 
so_lambda: λ2x y.t[x; y]
, 
so_apply: x[s1;s2]
, 
cons: [a / b]
, 
colength: colength(L)
, 
guard: {T}
, 
decidable: Dec(P)
, 
nil: []
, 
it: ⋅
, 
so_lambda: λ2x.t[x]
, 
so_apply: x[s]
, 
sq_type: SQType(T)
, 
less_than: a < b
, 
squash: ↓T
, 
less_than': less_than'(a;b)
, 
pi1: fst(t)
Latex:
\mforall{}[n:Top].  \mforall{}[inputs:Top  List].    (null-process(n)*(inputs)  \msim{}  null-process(n))
Date html generated:
2016_05_16-AM-11_44_23
Last ObjectModification:
2016_01_17-PM-03_49_37
Theory : event-ordering
Home
Index