Nuprl Lemma : rcos0
rcos(r0) = r1
Proof
Definitions occuring in Statement :
rcos: rcos(x),
req: x = y,
int-to-real: r(n),
natural_number: $n
Definitions unfolded in proof :
member: t ∈ T,
uall: ∀[x:A]. B[x],
uimplies: b supposing a,
uiff: uiff(P;Q),
and: P ∧ Q,
rev_uimplies: rev_uimplies(P;Q)
Lemmas referenced :
rcos_wf,
int-to-real_wf,
cosine_wf,
cosine0,
req_functionality,
rcos-is-cosine,
req_weakening
Rules used in proof :
sqequalSubstitution,
sqequalTransitivity,
computationStep,
sqequalReflexivity,
cut,
introduction,
extract_by_obid,
sqequalHypSubstitution,
isectElimination,
thin,
natural_numberEquality,
hypothesis,
because_Cache,
independent_isectElimination,
productElimination
Latex:
rcos(r0) = r1
Date html generated:
2016_10_26-PM-00_14_31
Last ObjectModification:
2016_09_12-PM-05_40_21
Theory : reals_2
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