Nuprl Lemma : halfpi-positive
r0 < π/2
Proof
Definitions occuring in Statement :
halfpi: π/2,
rless: x < y,
int-to-real: r(n),
natural_number: $n
Definitions unfolded in proof :
member: t ∈ T,
uall: ∀[x:A]. B[x],
all: ∀x:A. B[x],
uimplies: b supposing a,
iff: P ⇐⇒ Q,
and: P ∧ Q,
rev_implies: P ⇐ Q,
implies: P ⇒ Q
Lemmas referenced :
int-to-real_wf,
halfpi_wf,
half-pi_wf,
half-pi-positive,
rless_functionality,
req_weakening,
halfpi-half-pi
Rules used in proof :
sqequalSubstitution,
sqequalTransitivity,
computationStep,
sqequalReflexivity,
cut,
introduction,
extract_by_obid,
sqequalHypSubstitution,
isectElimination,
thin,
natural_numberEquality,
hypothesis,
because_Cache,
dependent_functionElimination,
independent_isectElimination,
productElimination,
independent_functionElimination
Latex:
r0 < \mpi{}/2
Date html generated:
2016_10_26-PM-00_23_04
Last ObjectModification:
2016_09_12-PM-05_42_47
Theory : reals_2
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