Nuprl Lemma : sq_stable-exception-type
∀[T:Type]. SqStable(exception-type(T))
Proof
Definitions occuring in Statement :
exception-type: exception-type(T),
sq_stable: SqStable(P),
uall: ∀[x:A]. B[x],
universe: Type
Definitions unfolded in proof :
uall: ∀[x:A]. B[x],
member: t ∈ T,
exception-type: exception-type(T),
so_lambda: λ2x.t[x],
uimplies: b supposing a,
prop: ℙ,
so_apply: x[s],
implies: P ⇒ Q,
is-exception: is-exception(t),
sq_stable: SqStable(P)
Lemmas referenced :
exception-type_wf,
squash_wf,
sq_stable_sqle,
is-exception_wf,
equal-wf-base,
isect_wf,
base_wf,
sq_stable__uall
Rules used in proof :
sqequalSubstitution,
sqequalTransitivity,
computationStep,
sqequalReflexivity,
isect_memberFormation,
introduction,
cut,
lemma_by_obid,
sqequalHypSubstitution,
isectElimination,
thin,
hypothesis,
sqequalRule,
lambdaEquality,
hypothesisEquality,
because_Cache,
independent_functionElimination,
baseClosed,
dependent_functionElimination,
axiomSqleEquality,
isect_memberEquality,
equalityTransitivity,
equalitySymmetry,
universeEquality
Latex:
\mforall{}[T:Type]. SqStable(exception-type(T))
Date html generated:
2016_05_13-PM-03_24_41
Last ObjectModification:
2016_01_14-PM-06_45_08
Theory : call!by!value_1
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