Nuprl Lemma : strong-interface-fifo-order-preserving
∀[Info:Type]
∀es:EO+(Info). ∀X:EClass(Top). ∀f:E(X) ─→ E. (strong-interface-fifo(es;X;f) ⇐⇒ interface-order-preserving(es;X;f))
Proof
Definitions occuring in Statement :
strong-interface-fifo: strong-interface-fifo(es;X;f),
interface-order-preserving: interface-order-preserving(es;X;f),
es-E-interface: E(X),
eclass: EClass(A[eo; e]),
event-ordering+: EO+(Info),
es-E: E,
uall: ∀[x:A]. B[x],
top: Top,
all: ∀x:A. B[x],
iff: P ⇐⇒ Q,
function: x:A ─→ B[x],
universe: Type
Lemmas :
es-le-total,
equal_wf,
Id_wf,
es-loc_wf,
event-ordering+_subtype,
es-E-interface_wf,
es-locl_wf,
es-locl_transitivity2,
es-le_weakening_eq,
es-locl_irreflexivity,
es-locl-antireflexive,
assert_elim,
in-eclass_wf,
subtype_base_sq,
bool_wf,
bool_subtype_base,
assert_wf,
and_wf,
es-E_wf,
es-le-self,
es-le_wf,
es-locl-total,
es-le_weakening,
es-le-loc
\mforall{}[Info:Type]
\mforall{}es:EO+(Info). \mforall{}X:EClass(Top). \mforall{}f:E(X) {}\mrightarrow{} E.
(strong-interface-fifo(es;X;f) \mLeftarrow{}{}\mRightarrow{} interface-order-preserving(es;X;f))
Date html generated:
2015_07_17-PM-00_58_28
Last ObjectModification:
2015_01_27-PM-10_48_40
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