Nuprl Lemma : sq_stable__sqequal
∀x,y:Base. SqStable(x ~ y)
Proof
Definitions occuring in Statement :
sq_stable: SqStable(P),
all: ∀x:A. B[x],
base: Base,
sqequal: s ~ t
Definitions unfolded in proof :
all: ∀x:A. B[x],
sq_stable: SqStable(P),
implies: P ⇒ Q,
squash: ↓T,
member: t ∈ T,
prop: ℙ,
uall: ∀[x:A]. B[x]
Lemmas referenced :
squash_wf,
base_sq,
base_wf
Rules used in proof :
sqequalSubstitution,
sqequalTransitivity,
computationStep,
sqequalReflexivity,
lambdaFormation,
sqequalHypSubstitution,
imageElimination,
cut,
hypothesis,
lemma_by_obid,
isectElimination,
thin,
sqequalIntensionalEquality
Latex:
\mforall{}x,y:Base. SqStable(x \msim{} y)
Date html generated:
2016_05_13-PM-03_19_56
Last ObjectModification:
2015_12_26-AM-09_09_18
Theory : sqequal_1
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