Nuprl Lemma : rec-combined-class-0_wf
∀[Info,A:Type]. ∀[F:bag(A) ⟶ bag(A)]. (rec-combined-class-0(F) ∈ EClass(A))
Proof
Definitions occuring in Statement :
rec-combined-class-0: rec-combined-class-0(b),
eclass: EClass(A[eo; e]),
uall: ∀[x:A]. B[x],
member: t ∈ T,
function: x:A ⟶ B[x],
universe: Type,
bag: bag(T)
Definitions unfolded in proof :
uall: ∀[x:A]. B[x],
member: t ∈ T,
rec-combined-class-0: rec-combined-class-0(b),
select: L[n],
uimplies: b supposing a,
all: ∀x:A. B[x],
nil: [],
it: ⋅,
so_lambda: λ2x y.t[x; y],
top: Top,
so_apply: x[s1;s2],
nat: ℕ,
le: A ≤ B,
and: P ∧ Q,
less_than': less_than'(a;b),
false: False,
not: ¬A,
implies: P ⇒ Q,
prop: ℙ,
guard: {T},
int_seg: {i..j-},
lelt: i ≤ j < k,
satisfiable_int_formula: satisfiable_int_formula(fmla),
exists: ∃x:A. B[x],
subtype_rel: A ⊆r B
Latex:
\mforall{}[Info,A:Type]. \mforall{}[F:bag(A) {}\mrightarrow{} bag(A)]. (rec-combined-class-0(F) \mmember{} EClass(A))
Date html generated:
2016_05_17-AM-00_05_52
Last ObjectModification:
2016_01_17-PM-06_54_51
Theory : event-ordering
Home
Index