Nuprl Lemma : rcos_wf
∀[x:ℝ]. (rcos(x) ∈ ℝ)
Proof
Definitions occuring in Statement :
rcos: rcos(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 :
rcos_wf1,
real_wf,
req_wf,
cosine_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{}]. (rcos(x) \mmember{} \mBbbR{})
Date html generated:
2016_10_26-PM-00_14_25
Last ObjectModification:
2016_09_12-PM-05_40_17
Theory : reals_2
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