Nuprl Lemma : nonneg-poly_wf
∀[p:iPolynomial()]. (nonneg-poly(p) ∈ 𝔹)
Proof
Definitions occuring in Statement :
nonneg-poly: nonneg-poly(p),
iPolynomial: iPolynomial(),
bool: 𝔹,
uall: ∀[x:A]. B[x],
member: t ∈ T
Definitions unfolded in proof :
uall: ∀[x:A]. B[x],
member: t ∈ T,
nonneg-poly: nonneg-poly(p),
iPolynomial: iPolynomial(),
so_lambda: λ2x.t[x],
prop: ℙ,
so_apply: x[s]
Lemmas referenced :
bl-all_wf,
iMonomial_wf,
nonneg-monomial_wf,
l_member_wf,
iPolynomial_wf
Rules used in proof :
sqequalSubstitution,
sqequalTransitivity,
computationStep,
sqequalReflexivity,
Error :isect_memberFormation_alt,
introduction,
cut,
sqequalRule,
extract_by_obid,
sqequalHypSubstitution,
isectElimination,
thin,
hypothesis,
setElimination,
rename,
hypothesisEquality,
Error :lambdaEquality_alt,
Error :setIsType,
Error :universeIsType,
axiomEquality,
equalityTransitivity,
equalitySymmetry
Latex:
\mforall{}[p:iPolynomial()]. (nonneg-poly(p) \mmember{} \mBbbB{})
Date html generated:
2019_06_20-PM-01_35_08
Last ObjectModification:
2019_04_08-PM-05_19_48
Theory : list_1
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