Nuprl Lemma : primed-class-opt_wf
∀[Info,T:Type]. ∀[b:Id ⟶ bag(T)]. ∀[X:EClass(T)]. (Prior(X)?b ∈ EClass(T))
Proof
Definitions occuring in Statement :
primed-class-opt: Prior(X)?b,
eclass: EClass(A[eo; e]),
Id: Id,
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,
primed-class-opt: Prior(X)?b,
eclass: EClass(A[eo; e]),
subtype_rel: A ⊆r B,
nat: ℕ,
so_lambda: λ2x.t[x],
prop: ℙ,
and: P ∧ Q,
implies: P ⇒ Q,
so_apply: x[s],
all: ∀x:A. B[x],
or: P ∨ Q,
sq_exists: ∃x:{A| B[x]},
so_lambda: λ2x y.t[x; y],
so_apply: x[s1;s2]
Latex:
\mforall{}[Info,T:Type]. \mforall{}[b:Id {}\mrightarrow{} bag(T)]. \mforall{}[X:EClass(T)]. (Prior(X)?b \mmember{} EClass(T))
Date html generated:
2016_05_16-PM-11_30_57
Last ObjectModification:
2015_12_29-AM-10_17_42
Theory : event-ordering
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