Nuprl Lemma : sq_stable_rneq
∀x,y:ℝ. SqStable(x ≠ y)
Proof
Definitions occuring in Statement :
rneq: x ≠ y,
real: ℝ,
sq_stable: SqStable(P),
all: ∀x:A. B[x]
Definitions unfolded in proof :
all: ∀x:A. B[x],
member: t ∈ T
Lemmas referenced :
sq_stable__rneq,
real_wf
Rules used in proof :
sqequalSubstitution,
sqequalTransitivity,
computationStep,
sqequalReflexivity,
lambdaFormation,
cut,
introduction,
extract_by_obid,
sqequalHypSubstitution,
dependent_functionElimination,
thin,
hypothesisEquality,
hypothesis
Latex:
\mforall{}x,y:\mBbbR{}. SqStable(x \mneq{} y)
Date html generated:
2018_05_22-PM-01_32_38
Last ObjectModification:
2018_05_17-AM-09_13_07
Theory : reals
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