Nuprl Lemma : sq_stable-dist-rless
∀n:ℕ. ∀a,b,c,d:ℝ^n. SqStable(d(c;d) < d(a;b))
Proof
Definitions occuring in Statement :
real-vec-dist: d(x;y),
real-vec: ℝ^n,
rless: x < y,
nat: ℕ,
sq_stable: SqStable(P),
all: ∀x:A. B[x]
Definitions unfolded in proof :
all: ∀x:A. B[x],
member: t ∈ T,
uall: ∀[x:A]. B[x],
subtype_rel: A ⊆r B
Latex:
\mforall{}n:\mBbbN{}. \mforall{}a,b,c,d:\mBbbR{}\^{}n. SqStable(d(c;d) < d(a;b))
Date html generated:
2020_05_20-PM-00_44_05
Last ObjectModification:
2019_12_11-AM-11_31_48
Theory : reals
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