Nuprl Lemma : sq_stable__rless
∀x,y:ℝ. SqStable(x < y)
Proof
Definitions occuring in Statement :
rless: x < y,
real: ℝ,
sq_stable: SqStable(P),
all: ∀x:A. B[x]
Definitions unfolded in proof :
all: ∀x:A. B[x],
sq_stable: SqStable(P),
implies: P ⇒ Q,
member: t ∈ T,
squash: ↓T,
uall: ∀[x:A]. B[x],
prop: ℙ
Lemmas referenced :
rlessw_wf,
rless_wf,
squash_wf,
real_wf
Rules used in proof :
sqequalSubstitution,
sqequalTransitivity,
computationStep,
sqequalReflexivity,
lambdaFormation,
introduction,
cut,
lemma_by_obid,
sqequalHypSubstitution,
dependent_functionElimination,
thin,
hypothesisEquality,
imageElimination,
dependent_set_memberEquality,
hypothesis,
isectElimination
Latex:
\mforall{}x,y:\mBbbR{}. SqStable(x < y)
Date html generated:
2016_05_18-AM-07_04_26
Last ObjectModification:
2015_12_28-AM-00_35_43
Theory : reals
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