Nuprl Lemma : state-class1_wf
∀[Info,A,B:Type]. ∀[init:Id ⟶ B]. ∀[f:Id ⟶ A ⟶ B ⟶ B]. ∀[X:EClass(A)]. (state-class1(init;f;X) ∈ EClass(B))
Proof
Definitions occuring in Statement :
state-class1: state-class1(init;tr;X),
eclass: EClass(A[eo; e]),
Id: Id,
uall: ∀[x:A]. B[x],
member: t ∈ T,
function: x:A ⟶ B[x],
universe: Type
Definitions unfolded in proof :
uall: ∀[x:A]. B[x],
member: t ∈ T,
state-class1: state-class1(init;tr;X),
all: ∀x:A. B[x],
so_lambda: λ2x y.t[x; y],
subtype_rel: A ⊆r B,
so_apply: x[s1;s2]
Latex:
\mforall{}[Info,A,B:Type]. \mforall{}[init:Id {}\mrightarrow{} B]. \mforall{}[f:Id {}\mrightarrow{} A {}\mrightarrow{} B {}\mrightarrow{} B]. \mforall{}[X:EClass(A)].
(state-class1(init;f;X) \mmember{} EClass(B))
Date html generated:
2016_05_16-PM-11_42_55
Last ObjectModification:
2015_12_29-AM-10_08_27
Theory : event-ordering
Home
Index