Nuprl Lemma : ex-sqle_wf
∀[e:Atom2]. ∀[t,t':Base]. (ex-sqle(e;t;t') ∈ ℙ)
Proof
Definitions occuring in Statement :
ex-sqle: ex-sqle(e;t;t'),
atom: Atom$n,
uall: ∀[x:A]. B[x],
prop: ℙ,
member: t ∈ T,
base: Base
Definitions unfolded in proof :
uall: ∀[x:A]. B[x],
member: t ∈ T,
ex-sqle: ex-sqle(e;t;t'),
subtype_rel: A ⊆r B
Lemmas referenced :
sqle_wf_base,
atom2_subtype_base,
base_wf
Rules used in proof :
sqequalSubstitution,
sqequalTransitivity,
computationStep,
sqequalReflexivity,
isect_memberFormation,
introduction,
cut,
sqequalRule,
extract_by_obid,
sqequalHypSubstitution,
isectElimination,
thin,
baseApply,
closedConclusion,
baseClosed,
hypothesisEquality,
applyEquality,
hypothesis,
because_Cache,
axiomEquality,
equalityTransitivity,
equalitySymmetry,
isect_memberEquality,
atomnEquality
Latex:
\mforall{}[e:Atom2]. \mforall{}[t,t':Base]. (ex-sqle(e;t;t') \mmember{} \mBbbP{})
Date html generated:
2017_02_20-AM-10_46_39
Last ObjectModification:
2017_01_25-PM-04_58_05
Theory : call!by!value_1
Home
Index