Nuprl Lemma : sq_stable__ex-approx
∀[e:Atom2]. ∀[t,t':Base]. SqStable(ex-approx(e;t;t'))
Proof
Definitions occuring in Statement :
ex-approx: ex-approx(e;t;t'),
atom: Atom$n,
sq_stable: SqStable(P),
uall: ∀[x:A]. B[x],
base: Base
Definitions unfolded in proof :
uall: ∀[x:A]. B[x],
sq_stable: SqStable(P),
implies: P ⇒ Q,
member: t ∈ T,
prop: ℙ,
ex-approx: ex-approx(e;t;t'),
all: ∀x:A. B[x],
squash: ↓T,
subtype_rel: A ⊆r B
Lemmas referenced :
squash_wf,
ex-approx_wf,
base_wf,
sq_stable__sqle,
atom2_subtype_base,
free-from-atom_wf2
Rules used in proof :
sqequalSubstitution,
sqequalTransitivity,
computationStep,
sqequalReflexivity,
isect_memberFormation,
lambdaFormation,
cut,
introduction,
extract_by_obid,
sqequalHypSubstitution,
isectElimination,
thin,
hypothesisEquality,
hypothesis,
because_Cache,
atomnEquality,
imageElimination,
sqequalRule,
baseApply,
closedConclusion,
baseClosed,
applyEquality,
independent_functionElimination,
imageMemberEquality,
dependent_functionElimination
Latex:
\mforall{}[e:Atom2]. \mforall{}[t,t':Base]. SqStable(ex-approx(e;t;t'))
Date html generated:
2017_02_20-AM-10_56_44
Last ObjectModification:
2017_01_19-PM-05_17_09
Theory : minimal-first-order-logic
Home
Index