Step
*
of Lemma
local-simulation-embedding
∀f:Name ─→ Type
∀[Info:Type]
∀es:EO+(Message(f)). ∀hdr:Name. ∀locs:bag(Id).
∀e1,e2:E.
(e1 ≤loc e2
⇒ (λx.x embeds local-simulation-eo(es;e1;hdr;locs) into local-simulation-eo(es;e2;hdr;locs)))
supposing hdr encodes Id × Info
BY
{ (Intros
THEN Unfold `local-simulation-eo` 0
THEN BLemma `iseg-es-embedding`
THEN Auto
THEN Try ((UsingVars [`Info'] MemCD THEN Auto))
THEN BLemma `iseg-local-simulation-inputs`
THEN Auto) }
Latex:
Latex:
\mforall{}f:Name {}\mrightarrow{} Type
\mforall{}[Info:Type]
\mforall{}es:EO+(Message(f)). \mforall{}hdr:Name. \mforall{}locs:bag(Id).
\mforall{}e1,e2:E.
(e1 \mleq{}loc e2
{}\mRightarrow{} (\mlambda{}x.x embeds local-simulation-eo(es;e1;hdr;locs) into
local-simulation-eo(es;e2;hdr;locs)))
supposing hdr encodes Id \mtimes{} Info
By
Latex:
(Intros
THEN Unfold `local-simulation-eo` 0
THEN BLemma `iseg-es-embedding`
THEN Auto
THEN Try ((UsingVars [`Info'] MemCD THEN Auto))
THEN BLemma `iseg-local-simulation-inputs`
THEN Auto)
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