Nuprl Lemma : State1-state-class1
∀[Info,B,A:Type]. ∀[f:Id ─→ A ─→ B ─→ B]. ∀[init:Id ─→ B]. ∀[X:EClass(A)].
(State1(init;f;X) = state-class1(init;f;X) ∈ EClass(B))
Proof
Definitions occuring in Statement :
State1: State1(init;tr;X),
state-class1: state-class1(init;tr;X),
eclass: EClass(A[eo; e]),
Id: Id,
uall: ∀[x:A]. B[x],
function: x:A ─→ B[x],
universe: Type,
equal: s = t ∈ T
Lemmas :
State-loc-comb-is-loop-class-state,
single-bag_wf,
eclass_wf,
es-E_wf,
event-ordering+_subtype,
event-ordering+_wf,
Id_wf
Latex:
\mforall{}[Info,B,A:Type]. \mforall{}[f:Id {}\mrightarrow{} A {}\mrightarrow{} B {}\mrightarrow{} B]. \mforall{}[init:Id {}\mrightarrow{} B]. \mforall{}[X:EClass(A)].
(State1(init;f;X) = state-class1(init;f;X))
Date html generated:
2015_07_22-PM-00_25_10
Last ObjectModification:
2015_01_28-AM-10_07_44
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