Nuprl Lemma : locl-pre-preserving_wf

[es:EO]. ∀[P:E ⟶ ℙ]. ∀[f:{e:E| e}  ⟶ E].  (f is locl-pre-preserving on P ∈ ℙ)


Proof




Definitions occuring in Statement :  locl-pre-preserving: is locl-pre-preserving on P es-E: E event_ordering: EO uall: [x:A]. B[x] prop: member: t ∈ T set: {x:A| B[x]}  apply: a function: x:A ⟶ B[x]
Definitions unfolded in proof :  locl-pre-preserving: is locl-pre-preserving on P uall: [x:A]. B[x] member: t ∈ T subtype_rel: A ⊆B prop:

Latex:
\mforall{}[es:EO].  \mforall{}[P:E  {}\mrightarrow{}  \mBbbP{}].  \mforall{}[f:\{e:E|  P  e\}    {}\mrightarrow{}  E].    (f  is  locl-pre-preserving  on  P  \mmember{}  \mBbbP{})



Date html generated: 2016_05_16-AM-10_20_40
Last ObjectModification: 2015_12_28-PM-09_21_52

Theory : new!event-ordering


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