Nuprl Lemma : member_riiint_lemma
∀r:Top. (r ∈ (-∞, ∞) ~ True)
Proof
Definitions occuring in Statement :
riiint: (-∞, ∞),
i-member: r ∈ I,
top: Top,
all: ∀x:A. B[x],
true: True,
sqequal: s ~ t
Definitions unfolded in proof :
all: ∀x:A. B[x],
member: t ∈ T,
riiint: (-∞, ∞),
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:Top. (r \mmember{} (-\minfty{}, \minfty{}) \msim{} True)
Date html generated:
2016_05_18-AM-08_37_31
Last ObjectModification:
2015_12_27-PM-11_53_22
Theory : reals
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