Nuprl Lemma : cname_deq_wf
CnameDeq ∈ EqDecider(Cname)
Proof
Definitions occuring in Statement :
cname_deq: CnameDeq,
coordinate_name: Cname,
deq: EqDecider(T),
member: t ∈ T
Definitions unfolded in proof :
coordinate_name: Cname,
cname_deq: CnameDeq,
member: t ∈ T,
subtype_rel: A ⊆r B,
uall: ∀[x:A]. B[x],
uimplies: b supposing a,
int_upper: {i...},
so_lambda: λ2x.t[x],
so_apply: x[s]
Lemmas referenced :
int-deq_wf,
strong-subtype-deq-subtype,
int_upper_wf,
strong-subtype-set3,
le_wf,
strong-subtype-self
Rules used in proof :
sqequalSubstitution,
sqequalTransitivity,
computationStep,
sqequalReflexivity,
sqequalRule,
cut,
lemma_by_obid,
hypothesis,
applyEquality,
thin,
sqequalHypSubstitution,
isectElimination,
natural_numberEquality,
intEquality,
independent_isectElimination,
because_Cache,
lambdaEquality,
hypothesisEquality
Latex:
CnameDeq \mmember{} EqDecider(Cname)
Date html generated:
2016_05_20-AM-09_27_56
Last ObjectModification:
2015_12_28-PM-04_48_37
Theory : cubical!sets
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