Nuprl Lemma : Memory1-memory-class1
∀[Info,A,B:Type]. ∀[init:Id ⟶ B]. ∀[tr:Id ⟶ A ⟶ B ⟶ B]. ∀[X:EClass(A)].
  (Memory1(init;tr;X) = memory-class1(initially initapplying tron X) ∈ EClass(B))
Proof
Definitions occuring in Statement : 
Memory1: Memory1(init;tr;X)
, 
memory-class1: memory-class1, 
eclass: EClass(A[eo; e])
, 
Id: Id
, 
uall: ∀[x:A]. B[x]
, 
function: x:A ⟶ B[x]
, 
universe: Type
, 
equal: s = t ∈ T
Definitions unfolded in proof : 
uall: ∀[x:A]. B[x]
, 
member: t ∈ T
, 
Memory1: Memory1(init;tr;X)
, 
so_lambda: λ2x y.t[x; y]
, 
subtype_rel: A ⊆r B
, 
so_apply: x[s1;s2]
, 
all: ∀x:A. B[x]
, 
uimplies: b supposing a
, 
guard: {T}
, 
iff: P 
⇐⇒ Q
, 
and: P ∧ Q
, 
rev_implies: P 
⇐ Q
, 
implies: P 
⇒ Q
, 
State1: State1(init;tr;X)
, 
squash: ↓T
, 
prop: ℙ
, 
true: True
, 
memory-class1: memory-class1, 
state-class1: state-class1(init;tr;X)
Latex:
\mforall{}[Info,A,B:Type].  \mforall{}[init:Id  {}\mrightarrow{}  B].  \mforall{}[tr:Id  {}\mrightarrow{}  A  {}\mrightarrow{}  B  {}\mrightarrow{}  B].  \mforall{}[X:EClass(A)].
    (Memory1(init;tr;X)  =  memory-class1(initially  initapplying  tron  X))
Date html generated:
2016_05_17-AM-10_04_38
Last ObjectModification:
2016_01_17-PM-11_02_25
Theory : classrel!lemmas
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