Nuprl Lemma : member_rioint_lemma
∀r,u:Top. (r ∈ (-∞, u) ~ r < u)
Proof
Definitions occuring in Statement :
rioint: (-∞, u),
i-member: r ∈ I,
rless: x < y,
top: Top,
all: ∀x:A. B[x],
sqequal: s ~ t
Definitions unfolded in proof :
all: ∀x:A. B[x],
member: t ∈ T,
rioint: (-∞, u),
i-member: r ∈ I
Lemmas referenced :
top_wf
Rules used in proof :
sqequalSubstitution,
sqequalTransitivity,
computationStep,
sqequalReflexivity,
lambdaFormation,
cut,
hypothesis,
lemma_by_obid,
sqequalRule
Latex:
\mforall{}r,u:Top. (r \mmember{} (-\minfty{}, u) \msim{} r < u)
Date html generated:
2016_05_18-AM-08_37_04
Last ObjectModification:
2015_12_27-PM-11_52_27
Theory : reals
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