Nuprl Lemma : run-msg-commands_wf

[M:Type ⟶ Type]. ∀[r:pRunType(P.M[P])].  (run-msg-commands(r) ∈ Type)


Proof




Definitions occuring in Statement :  run-msg-commands: run-msg-commands(r) pRunType: pRunType(T.M[T]) uall: [x:A]. B[x] so_apply: x[s] member: t ∈ T function: x:A ⟶ B[x] universe: Type
Definitions unfolded in proof :  uall: [x:A]. B[x] member: t ∈ T run-msg-commands: run-msg-commands(r) and: P ∧ Q so_lambda: λ2x.t[x] so_apply: x[s] prop: uimplies: supposing a all: x:A. B[x] implies:  Q pInTransit: pInTransit(P.M[P]) pi2: snd(t)

Latex:
\mforall{}[M:Type  {}\mrightarrow{}  Type].  \mforall{}[r:pRunType(P.M[P])].    (run-msg-commands(r)  \mmember{}  Type)



Date html generated: 2016_05_17-AM-10_56_19
Last ObjectModification: 2015_12_29-PM-05_17_43

Theory : process-model


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