Nuprl Lemma : sq_stable__free-from-atom2
∀[T:Type]. ∀[x:T]. ∀[a:Atom2]. SqStable(a#x:T)
Proof
Definitions occuring in Statement :
free-from-atom: a#x:T,
atom: Atom$n,
sq_stable: SqStable(P),
uall: ∀[x:A]. B[x],
universe: Type
Definitions unfolded in proof :
prop: ℙ,
squash: ↓T,
implies: P ⇒ Q,
sq_stable: SqStable(P),
member: t ∈ T,
uall: ∀[x:A]. B[x]
Lemmas referenced :
free-from-atom_wf2,
squash_wf
Rules used in proof :
universeEquality,
because_Cache,
isect_memberEquality,
atomnEquality,
freeFromAtomAxiom,
dependent_functionElimination,
lambdaEquality,
sqequalRule,
hypothesisEquality,
thin,
isectElimination,
extract_by_obid,
hypothesis,
imageElimination,
sqequalHypSubstitution,
lambdaFormation,
cut,
introduction,
isect_memberFormation,
sqequalReflexivity,
computationStep,
sqequalTransitivity,
sqequalSubstitution
Latex:
\mforall{}[T:Type]. \mforall{}[x:T]. \mforall{}[a:Atom2]. SqStable(a\#x:T)
Date html generated:
2019_06_20-AM-11_20_22
Last ObjectModification:
2018_10_15-AM-08_41_02
Theory : atom_1
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