Nuprl Lemma : ri-deq_wf
ri-deq() ∈ EqDecider(ℚInterval)
Proof
Definitions occuring in Statement :
ri-deq: ri-deq(),
rational-interval: ℚInterval,
deq: EqDecider(T),
member: t ∈ T
Definitions unfolded in proof :
rational-interval: ℚInterval,
subtype_rel: A ⊆r B,
uall: ∀[x:A]. B[x],
member: t ∈ T,
ri-deq: ri-deq()
Lemmas referenced :
rational-interval_wf,
deq_wf,
subtype_rel_self,
qdeq_wf,
rationals_wf,
product-deq_wf
Rules used in proof :
applyEquality,
hypothesis,
thin,
isectElimination,
sqequalHypSubstitution,
extract_by_obid,
introduction,
cut,
computationStep,
sqequalTransitivity,
sqequalReflexivity,
sqequalRule,
sqequalSubstitution
Latex:
ri-deq() \mmember{} EqDecider(\mBbbQ{}Interval)
Date html generated:
2019_10_29-AM-07_46_40
Last ObjectModification:
2019_10_18-AM-11_49_03
Theory : rationals
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