Nuprl Lemma : i-approx-approx

∀I:Interval. ∀n,m:Top.  (i-approx(i-approx(I;n);m) ~ i-approx(I;n))


Proof




Definitions occuring in Statement :  i-approx: i-approx(I;n),  interval: Interval,  top: Top,  all: ∀x:A. B[x],  sqequal: s ~ t
Definitions unfolded in proof :  all: ∀x:A. B[x],  interval: Interval,  i-approx: i-approx(I;n),  rccint: [l, u],  member: t ∈ T
Lemmas referenced :  top_wf,  interval_wf
Rules used in proof :  sqequalSubstitution,  sqequalTransitivity,  computationStep,  sqequalReflexivity,  lambdaFormation,  sqequalHypSubstitution,  productElimination,  thin,  unionElimination,  sqequalRule,  cut,  lemma_by_obid,  hypothesis,  because_Cache

Latex:
\mforall{}I:Interval.  \mforall{}n,m:Top.    (i-approx(i-approx(I;n);m)  \msim{}  i-approx(I;n))



Date html generated: 2016_05_18-AM-08_46_30
Last ObjectModification: 2015_12_27-PM-11_47_25

Theory : reals


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