Nuprl Lemma : member_ricint_lemma
∀r,u:Top. (r ∈ (-∞, u] ~ r ≤ u)
Proof
Definitions occuring in Statement :
ricint: (-∞, u],
i-member: r ∈ I,
rleq: x ≤ y,
top: Top,
all: ∀x:A. B[x],
sqequal: s ~ t
Definitions unfolded in proof :
all: ∀x:A. B[x],
member: t ∈ T,
ricint: (-∞, 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 \mleq{} u)
Date html generated:
2016_05_18-AM-08_36_40
Last ObjectModification:
2015_12_27-PM-11_53_32
Theory : reals
Home
Index