Nuprl Lemma : req-vec_wf
∀[n:ℕ]. ∀[x,y:ℝ^n]. (req-vec(n;x;y) ∈ ℙ)
Proof
Definitions occuring in Statement :
req-vec: req-vec(n;x;y),
real-vec: ℝ^n,
nat: ℕ,
uall: ∀[x:A]. B[x],
prop: ℙ,
member: t ∈ T
Definitions unfolded in proof :
uall: ∀[x:A]. B[x],
member: t ∈ T,
req-vec: req-vec(n;x;y),
nat: ℕ,
so_lambda: λ2x.t[x],
real-vec: ℝ^n,
so_apply: x[s]
Lemmas referenced :
all_wf,
int_seg_wf,
req_wf,
real-vec_wf,
nat_wf
Rules used in proof :
sqequalSubstitution,
sqequalTransitivity,
computationStep,
sqequalReflexivity,
isect_memberFormation,
introduction,
cut,
sqequalRule,
lemma_by_obid,
sqequalHypSubstitution,
isectElimination,
thin,
natural_numberEquality,
setElimination,
rename,
hypothesisEquality,
hypothesis,
lambdaEquality,
applyEquality,
axiomEquality,
equalityTransitivity,
equalitySymmetry,
isect_memberEquality,
because_Cache
Latex:
\mforall{}[n:\mBbbN{}]. \mforall{}[x,y:\mBbbR{}\^{}n]. (req-vec(n;x;y) \mmember{} \mBbbP{})
Date html generated:
2016_05_18-AM-09_45_07
Last ObjectModification:
2015_12_27-PM-11_14_18
Theory : reals
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