Nuprl Lemma : fixedpoint-property_wf
∀[X:Type]. ∀[d:metric(X)]. (FP(X) ∈ ℙ)
Proof
Definitions occuring in Statement :
fixedpoint-property: FP(X),
metric: metric(X),
uall: ∀[x:A]. B[x],
prop: ℙ,
member: t ∈ T,
universe: Type
Definitions unfolded in proof :
uall: ∀[x:A]. B[x],
member: t ∈ T,
fixedpoint-property: FP(X),
so_lambda: λ2x.t[x],
mfun: FUN(X ⟶ Y),
nat_plus: ℕ+,
uimplies: b supposing a,
rneq: x ≠ y,
guard: {T},
or: P ∨ Q,
all: ∀x:A. B[x],
iff: P ⇐⇒ Q,
and: P ∧ Q,
rev_implies: P ⇐ Q,
implies: P ⇒ Q,
decidable: Dec(P),
not: ¬A,
satisfiable_int_formula: satisfiable_int_formula(fmla),
exists: ∃x:A. B[x],
false: False,
top: Top,
prop: ℙ,
so_apply: x[s]
Latex:
\mforall{}[X:Type]. \mforall{}[d:metric(X)]. (FP(X) \mmember{} \mBbbP{})
Date html generated:
2020_05_20-AM-11_53_38
Last ObjectModification:
2019_11_20-PM-02_00_41
Theory : reals
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