Nuprl Lemma : coordinate_name-value-type
value-type(Cname)
Proof
Definitions occuring in Statement :
coordinate_name: Cname,
value-type: value-type(T)
Definitions unfolded in proof :
value-type: value-type(T),
uall: ∀[x:A]. B[x],
uimplies: b supposing a,
member: t ∈ T,
sq_stable: SqStable(P),
implies: P ⇒ Q,
all: ∀x:A. B[x],
subtype_rel: A ⊆r B,
coordinate_name: Cname,
int_upper: {i...},
so_lambda: λ2x.t[x],
so_apply: x[s],
prop: ℙ,
squash: ↓T
Lemmas referenced :
sq_stable__has-value,
coordinate_name_wf,
rational-has-value2,
subtype_rel_set,
rationals_wf,
le_wf,
int-subtype-rationals,
equal_wf,
equal-wf-base,
base_wf
Rules used in proof :
sqequalSubstitution,
sqequalTransitivity,
computationStep,
sqequalReflexivity,
isect_memberFormation,
cut,
introduction,
extract_by_obid,
sqequalHypSubstitution,
isectElimination,
thin,
hypothesisEquality,
hypothesis,
independent_functionElimination,
equalityTransitivity,
equalitySymmetry,
lambdaFormation,
applyEquality,
sqequalRule,
intEquality,
lambdaEquality,
natural_numberEquality,
independent_isectElimination,
dependent_functionElimination,
imageMemberEquality,
baseClosed,
imageElimination,
because_Cache
Latex:
value-type(Cname)
Date html generated:
2017_10_05-AM-10_04_47
Last ObjectModification:
2017_07_28-AM-11_15_49
Theory : cubical!sets
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