Nuprl Lemma : rsqrt1
rsqrt(r1) = r1
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,
all: ∀x:A. B[x],
iff: P ⇐⇒ Q,
and: P ∧ Q,
rev_implies: P ⇐ Q,
implies: P ⇒ Q,
le: A ≤ B,
less_than': less_than'(a;b),
false: False,
not: ¬A,
prop: ℙ,
subtype_rel: A ⊆r B,
uimplies: b supposing a
Lemmas referenced :
req_inversion,
int-to-real_wf,
rsqrt_wf,
rleq-int,
false_wf,
rleq_wf,
rmul-one,
rsqrt-unique
Rules used in proof :
cut,
introduction,
extract_by_obid,
sqequalHypSubstitution,
sqequalSubstitution,
sqequalTransitivity,
computationStep,
sqequalReflexivity,
isectElimination,
thin,
natural_numberEquality,
hypothesis,
dependent_functionElimination,
productElimination,
independent_functionElimination,
sqequalRule,
independent_pairFormation,
lambdaFormation,
dependent_set_memberEquality,
hypothesisEquality,
applyEquality,
because_Cache,
independent_isectElimination
Latex:
rsqrt(r1) = r1
Date html generated:
2016_10_26-AM-10_08_54
Last ObjectModification:
2016_10_11-PM-03_01_27
Theory : reals
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