Nuprl Lemma : Memory1-functional
∀[Info,A,B:Type]. ∀[init:Id ─→ B]. ∀[tr:Id ─→ A ─→ B ─→ B]. ∀[X:EClass(A)].
∀es:EO+(Info). (single-valued-classrel(es;X;A) ⇒ Memory1(init;tr;X) is functional)
Proof
Definitions occuring in Statement :
Memory1: Memory1(init;tr;X),
es-functional-class: X is functional,
single-valued-classrel: single-valued-classrel(es;X;T),
eclass: EClass(A[eo; e]),
event-ordering+: EO+(Info),
Id: Id,
uall: ∀[x:A]. B[x],
all: ∀x:A. B[x],
implies: P ⇒ Q,
function: x:A ─→ B[x],
universe: Type
Lemmas :
Memory-loc-class-functional,
single-bag_wf,
bag_size_single_lemma,
false_wf,
single-valued-bag-single,
single-valued-classrel_wf,
event-ordering+_wf,
classrel_wf,
Memory1_wf,
es-E_wf,
event-ordering+_subtype,
less_than_wf,
bag-size_wf,
class-ap_wf,
nat_wf,
eclass_wf,
Id_wf
Latex:
\mforall{}[Info,A,B:Type]. \mforall{}[init:Id {}\mrightarrow{} B]. \mforall{}[tr:Id {}\mrightarrow{} A {}\mrightarrow{} B {}\mrightarrow{} B]. \mforall{}[X:EClass(A)].
\mforall{}es:EO+(Info). (single-valued-classrel(es;X;A) {}\mRightarrow{} Memory1(init;tr;X) is functional)
Date html generated:
2015_07_22-PM-00_19_50
Last ObjectModification:
2015_01_28-AM-10_14_08
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