Nuprl Lemma : es-le-before-if-first

∀[es:EO]. ∀[e:E].  ≤loc(e) ~ [e] supposing ↑first(e)


Proof




Definitions occuring in Statement :  es-le-before: ≤loc(e),  es-first: first(e),  es-E: E,  event_ordering: EO,  cons: [a / b],  nil: [],  assert: ↑b,  uimplies: b supposing a,  uall: ∀[x:A]. B[x],  sqequal: s ~ t
Definitions unfolded in proof :  uall: ∀[x:A]. B[x],  member: t ∈ T,  uimplies: b supposing a,  es-le-before: ≤loc(e),  top: Top,  prop: ℙ

Latex:
\mforall{}[es:EO].  \mforall{}[e:E].    \mleq{}loc(e)  \msim{}  [e]  supposing  \muparrow{}first(e)



Date html generated: 2016_05_16-AM-09_38_13
Last ObjectModification: 2015_12_28-PM-09_43_36

Theory : new!event-ordering


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