Nuprl Lemma : half-pi-positive
r0 < π/2(slower)
Proof
Definitions occuring in Statement :
half-pi: π/2(slower),
rless: x < y,
int-to-real: r(n),
natural_number: $n
Definitions unfolded in proof :
rless: x < y,
sq_exists: ∃x:{A| B[x]},
member: t ∈ T,
nat_plus: ℕ+,
less_than: a < b,
squash: ↓T,
less_than': less_than'(a;b),
true: True,
and: P ∧ Q,
uall: ∀[x:A]. B[x],
prop: ℙ,
subtype_rel: A ⊆r B,
real: ℝ
Lemmas referenced :
less_than_wf,
int-to-real_wf,
real_wf,
half-pi_wf
Rules used in proof :
sqequalSubstitution,
sqequalTransitivity,
computationStep,
sqequalReflexivity,
dependent_set_memberFormation,
dependent_set_memberEquality,
natural_numberEquality,
sqequalRule,
cut,
independent_pairFormation,
introduction,
imageMemberEquality,
hypothesisEquality,
thin,
baseClosed,
sqequalHypSubstitution,
hypothesis,
extract_by_obid,
isectElimination,
computeAll,
addEquality,
applyEquality,
lambdaEquality,
setElimination,
rename
Latex:
r0 < \mpi{}/2(slower)
Date html generated:
2016_10_26-PM-00_20_20
Last ObjectModification:
2016_09_12-PM-05_41_56
Theory : reals_2
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