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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