Nuprl Lemma : metric-space_wf
MetricSpace ∈ 𝕌'
Proof
Definitions occuring in Statement :
metric-space: MetricSpace,
member: t ∈ T,
universe: Type
Definitions unfolded in proof :
metric-space: MetricSpace,
member: t ∈ T,
uall: ∀[x:A]. B[x]
Lemmas referenced :
metric_wf
Rules used in proof :
sqequalSubstitution,
sqequalRule,
sqequalReflexivity,
sqequalTransitivity,
computationStep,
productEquality,
universeEquality,
cumulativity,
cut,
introduction,
extract_by_obid,
sqequalHypSubstitution,
isectElimination,
thin,
hypothesisEquality,
hypothesis
Latex:
MetricSpace \mmember{} \mBbbU{}'
Date html generated:
2019_10_29-AM-11_08_12
Last ObjectModification:
2019_10_02-AM-09_49_30
Theory : reals
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