Nuprl Lemma : es-local-embedding-compose
∀[Info:Type]. ∀[eo1,eo2,eo3:EO+(Info)]. ∀[f:E ─→ E]. ∀[g:E ─→ E].
(es-local-embedding(Info;eo1;eo2;f) ⇒ es-local-embedding(Info;eo2;eo3;g) ⇒ es-local-embedding(Info;eo1;eo3;g o f))
Proof
Definitions occuring in Statement :
es-local-embedding: es-local-embedding(Info;eo1;eo2;f),
event-ordering+: EO+(Info),
es-E: E,
compose: f o g,
uall: ∀[x:A]. B[x],
implies: P ⇒ Q,
function: x:A ─→ B[x],
universe: Type
Lemmas :
es-local-embedding_wf,
es-E_wf,
event-ordering+_subtype,
event-ordering+_wf
\mforall{}[Info:Type]. \mforall{}[eo1,eo2,eo3:EO+(Info)]. \mforall{}[f:E {}\mrightarrow{} E]. \mforall{}[g:E {}\mrightarrow{} E].
(es-local-embedding(Info;eo1;eo2;f)
{}\mRightarrow{} es-local-embedding(Info;eo2;eo3;g)
{}\mRightarrow{} es-local-embedding(Info;eo1;eo3;g o f))
Date html generated:
2015_07_17-PM-00_11_32
Last ObjectModification:
2015_01_28-AM-00_08_51
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