Nuprl Lemma : const-stream_wf
∀[A:Type]. ∀[x:A]. const-stream(x) ∈ stream(A) supposing valueall-type(A)
Proof
Definitions occuring in Statement :
const-stream: const-stream(x),
stream: stream(A),
valueall-type: valueall-type(T),
uimplies: b supposing a,
uall: ∀[x:A]. B[x],
member: t ∈ T,
universe: Type
Definitions unfolded in proof :
uall: ∀[x:A]. B[x],
member: t ∈ T,
uimplies: b supposing a,
const-stream: const-stream(x)
Lemmas referenced :
mk-stream_wf,
valueall-type_wf
Rules used in proof :
sqequalSubstitution,
sqequalTransitivity,
computationStep,
sqequalReflexivity,
isect_memberFormation,
introduction,
cut,
sqequalRule,
lemma_by_obid,
sqequalHypSubstitution,
isectElimination,
thin,
hypothesisEquality,
lambdaEquality,
independent_isectElimination,
hypothesis,
axiomEquality,
equalityTransitivity,
equalitySymmetry,
isect_memberEquality,
because_Cache,
universeEquality
Latex:
\mforall{}[A:Type]. \mforall{}[x:A]. const-stream(x) \mmember{} stream(A) supposing valueall-type(A)
Date html generated:
2016_05_14-AM-06_23_09
Last ObjectModification:
2015_12_26-AM-11_58_59
Theory : co-recursion
Home
Index