Nuprl Lemma : int-rdiv-req
∀[k:ℤ-o]. ∀[a:ℝ]. ((a)/k = (a/r(k)))
Proof
Definitions occuring in Statement :
rdiv: (x/y),
int-rdiv: (a)/k1,
req: x = y,
int-to-real: r(n),
real: ℝ,
int_nzero: ℤ-o,
uall: ∀[x:A]. B[x]
Definitions unfolded in proof :
uall: ∀[x:A]. B[x],
member: t ∈ T,
uimplies: b supposing a,
all: ∀x:A. B[x],
iff: P ⇐⇒ Q,
and: P ∧ Q,
rev_implies: P ⇐ Q,
implies: P ⇒ Q,
uiff: uiff(P;Q),
rev_uimplies: rev_uimplies(P;Q),
int_nzero: ℤ-o,
not: ¬A,
nequal: a ≠ b ∈ T ,
satisfiable_int_formula: satisfiable_int_formula(fmla),
exists: ∃x:A. B[x],
false: False,
prop: ℙ,
subtype_rel: A ⊆r B,
so_lambda: λ2x.t[x],
so_apply: x[s],
rdiv: (x/y),
req_int_terms: t1 ≡ t2
Latex:
\mforall{}[k:\mBbbZ{}\msupminus{}\msupzero{}]. \mforall{}[a:\mBbbR{}]. ((a)/k = (a/r(k)))
Date html generated:
2020_05_20-AM-11_00_21
Last ObjectModification:
2019_12_26-PM-10_05_36
Theory : reals
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