Nuprl Lemma : alle-between2_wf

[es:EO]. ∀[e1,e2:E]. ∀[P:{e:E| loc(e) loc(e1) ∈ Id}  ─→ ℙ].  ∀e∈[e1,e2].P[e] ∈ ℙ supposing loc(e2) loc(e1) ∈ Id


Proof




Definitions occuring in Statement :  alle-between2: e∈[e1,e2].P[e] es-loc: loc(e) es-E: E event_ordering: EO Id: Id uimplies: supposing a uall: [x:A]. B[x] prop: so_apply: x[s] member: t ∈ T set: {x:A| B[x]}  function: x:A ─→ B[x] equal: t ∈ T
Lemmas :  all_wf es-E_wf es-le_wf es-le-loc Id_wf es-loc_wf equal_wf
\mforall{}[es:EO].  \mforall{}[e1,e2:E].  \mforall{}[P:\{e:E|  loc(e)  =  loc(e1)\}    {}\mrightarrow{}  \mBbbP{}].
    \mforall{}e\mmember{}[e1,e2].P[e]  \mmember{}  \mBbbP{}  supposing  loc(e2)  =  loc(e1)



Date html generated: 2015_07_17-AM-08_47_39
Last ObjectModification: 2015_01_27-PM-02_25_48

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