Nuprl Lemma : eq-cname_wf
∀[x,y:Cname]. (eq-cname(x;y) ∈ 𝔹)
Proof
Definitions occuring in Statement :
eq-cname: eq-cname(x;y),
coordinate_name: Cname,
bool: 𝔹,
uall: ∀[x:A]. B[x],
member: t ∈ T
Definitions unfolded in proof :
uall: ∀[x:A]. B[x],
member: t ∈ T,
eq-cname: eq-cname(x;y),
subtype_rel: A ⊆r B,
deq: EqDecider(T)
Lemmas referenced :
cname_deq_wf,
deq_wf,
coordinate_name_wf
Rules used in proof :
sqequalSubstitution,
sqequalTransitivity,
computationStep,
sqequalReflexivity,
isect_memberFormation,
introduction,
cut,
sqequalRule,
applyEquality,
lemma_by_obid,
hypothesis,
thin,
lambdaEquality,
sqequalHypSubstitution,
setElimination,
rename,
hypothesisEquality,
isectElimination,
axiomEquality,
equalityTransitivity,
equalitySymmetry,
isect_memberEquality,
because_Cache
Latex:
\mforall{}[x,y:Cname]. (eq-cname(x;y) \mmember{} \mBbbB{})
Date html generated:
2016_05_20-AM-09_28_00
Last ObjectModification:
2015_12_28-PM-04_48_32
Theory : cubical!sets
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