Nuprl Lemma : radd-list_wf-bag
∀[L:bag(ℝ)]. (radd-list(L) ∈ ℝ)
Proof
Definitions occuring in Statement :
radd-list: radd-list(L),
real: ℝ,
uall: ∀[x:A]. B[x],
member: t ∈ T,
bag: bag(T)
Definitions unfolded in proof :
uall: ∀[x:A]. B[x],
member: t ∈ T,
bag: bag(T),
quotient: x,y:A//B[x; y],
and: P ∧ Q,
nat_plus: 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],
prop: ℙ,
false: False,
real: ℝ,
squash: ↓T,
subtype_rel: A ⊆r B,
true: True,
guard: {T},
iff: P ⇐⇒ Q,
rev_implies: P ⇐ Q
Latex:
\mforall{}[L:bag(\mBbbR{})]. (radd-list(L) \mmember{} \mBbbR{})
Date html generated:
2020_05_20-AM-10_53_01
Last ObjectModification:
2020_01_06-PM-00_27_45
Theory : reals
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