Nuprl Lemma : sq_stable__squash
∀[P:ℙ]. SqStable(↓P)
Proof
Definitions occuring in Statement :
sq_stable: SqStable(P),
uall: ∀[x:A]. B[x],
prop: ℙ,
squash: ↓T
Definitions unfolded in proof :
sq_stable: SqStable(P),
uall: ∀[x:A]. B[x],
member: t ∈ T,
implies: P ⇒ Q,
squash: ↓T,
prop: ℙ
Lemmas referenced :
squash_wf
Rules used in proof :
sqequalSubstitution,
sqequalRule,
sqequalReflexivity,
sqequalTransitivity,
computationStep,
isect_memberFormation,
introduction,
cut,
lambdaFormation,
sqequalHypSubstitution,
imageElimination,
hypothesis,
imageMemberEquality,
hypothesisEquality,
thin,
baseClosed,
lemma_by_obid,
isectElimination,
lambdaEquality,
dependent_functionElimination,
universeEquality
Latex:
\mforall{}[P:\mBbbP{}]. SqStable(\mdownarrow{}P)
Date html generated:
2016_05_13-PM-03_10_01
Last ObjectModification:
2016_01_06-PM-05_48_24
Theory : core_2
Home
Index