Nuprl Lemma : real-vec-infinity-norm_wf
∀[n:ℕ+]. ∀[v:ℝ^n]. (||v||∞ ∈ ℝ)
Proof
Definitions occuring in Statement :
real-vec-infinity-norm: ||v||∞,
real-vec: ℝ^n,
real: ℝ,
nat_plus: ℕ+,
uall: ∀[x:A]. B[x],
member: t ∈ T
Definitions unfolded in proof :
uall: ∀[x:A]. B[x],
member: t ∈ T,
real-vec: ℝ^n,
int_seg: {i..j-},
lelt: i ≤ j < k,
and: P ∧ Q,
le: A ≤ B,
nat_plus: ℕ+,
real-vec-infinity-norm: ||v||∞,
nat: ℕ,
all: ∀x:A. B[x],
decidable: Dec(P),
or: P ∨ Q,
uimplies: b supposing a,
not: ¬A,
implies: P ⇒ Q,
satisfiable_int_formula: satisfiable_int_formula(fmla),
exists: ∃x:A. B[x],
false: False,
top: Top,
prop: ℙ
Latex:
\mforall{}[n:\mBbbN{}\msupplus{}]. \mforall{}[v:\mBbbR{}\^{}n]. (||v||\minfty{} \mmember{} \mBbbR{})
Date html generated:
2020_05_20-PM-00_47_11
Last ObjectModification:
2019_11_11-PM-08_18_51
Theory : reals
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