Nuprl Lemma : arctan_wf
∀[x:ℝ]. (arctan(x) ∈ ℝ)
Proof
Definitions occuring in Statement :
arctan: arctan(x),
real: ℝ,
uall: ∀[x:A]. B[x],
member: t ∈ T
Definitions unfolded in proof :
uall: ∀[x:A]. B[x],
member: t ∈ T,
subtype_rel: A ⊆r B,
prop: ℙ
Lemmas referenced :
arctan_wf1,
real_wf,
req_wf,
arctangent_wf
Rules used in proof :
cut,
introduction,
extract_by_obid,
sqequalSubstitution,
sqequalTransitivity,
computationStep,
sqequalReflexivity,
isect_memberFormation,
hypothesis,
sqequalHypSubstitution,
isectElimination,
thin,
hypothesisEquality,
applyEquality,
lambdaEquality,
setElimination,
rename,
setEquality,
sqequalRule
Latex:
\mforall{}[x:\mBbbR{}]. (arctan(x) \mmember{} \mBbbR{})
Date html generated:
2018_05_22-PM-03_07_18
Last ObjectModification:
2017_10_27-AM-01_03_44
Theory : reals_2
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