Nuprl Lemma : real-subtype-qreal
ℝ ⊆r [ℝ]
Proof
Definitions occuring in Statement :
qreal: [ℝ],
real: ℝ,
subtype_rel: A ⊆r B
Definitions unfolded in proof :
qreal: [ℝ],
uall: ∀[x:A]. B[x],
member: t ∈ T,
so_lambda: λ2x y.t[x; y],
so_apply: x[s1;s2],
uimplies: b supposing a
Lemmas referenced :
subtype_quotient,
real_wf,
req_wf,
req-equiv
Rules used in proof :
sqequalSubstitution,
sqequalTransitivity,
computationStep,
sqequalReflexivity,
cut,
lemma_by_obid,
sqequalHypSubstitution,
isectElimination,
thin,
hypothesis,
sqequalRule,
lambdaEquality,
hypothesisEquality,
independent_isectElimination
Latex:
\mBbbR{} \msubseteq{}r [\mBbbR{}]
Date html generated:
2016_05_18-AM-11_14_30
Last ObjectModification:
2015_12_27-PM-10_39_28
Theory : reals
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