Nuprl Lemma : rsqrt0
rsqrt(r0) = r0
Proof
Definitions occuring in Statement :
rsqrt: rsqrt(x),
req: x = y,
int-to-real: r(n),
natural_number: $n
Definitions unfolded in proof :
uall: ∀[x:A]. B[x],
member: t ∈ T,
uimplies: b supposing a,
prop: ℙ,
subtype_rel: A ⊆r B
Lemmas referenced :
req_inversion,
int-to-real_wf,
rsqrt_wf,
rleq_weakening_equal,
rleq_wf,
rmul-zero,
rsqrt-unique
Rules used in proof :
cut,
introduction,
extract_by_obid,
sqequalHypSubstitution,
sqequalSubstitution,
sqequalTransitivity,
computationStep,
sqequalReflexivity,
isectElimination,
thin,
natural_numberEquality,
hypothesis,
because_Cache,
independent_isectElimination,
dependent_set_memberEquality,
hypothesisEquality,
applyEquality,
sqequalRule
Latex:
rsqrt(r0) = r0
Date html generated:
2016_10_26-AM-10_09_07
Last ObjectModification:
2016_10_11-PM-11_57_28
Theory : reals
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