Nuprl Lemma : eclass-cond_wf
∀[Info,B:Type]. ∀[X:EClass(B ─→ B)]. ∀[Y:EClass(B)]. (eclass-cond(X;Y) ∈ EClass(B))
Proof
Definitions occuring in Statement :
eclass-cond: eclass-cond(X;Y),
eclass: EClass(A[eo; e]),
uall: ∀[x:A]. B[x],
member: t ∈ T,
function: x:A ─→ B[x],
universe: Type
Lemmas :
member-eclass_wf,
bool_wf,
eqtt_to_assert,
class-ap_wf,
eclass3_wf,
eqff_to_assert,
equal_wf,
bool_cases_sqequal,
subtype_base_sq,
bool_subtype_base,
assert-bnot,
es-E_wf,
event-ordering+_subtype,
eclass_wf,
event-ordering+_wf
\mforall{}[Info,B:Type]. \mforall{}[X:EClass(B {}\mrightarrow{} B)]. \mforall{}[Y:EClass(B)]. (eclass-cond(X;Y) \mmember{} EClass(B))
Date html generated:
2015_07_17-PM-00_38_12
Last ObjectModification:
2015_01_27-PM-11_15_10
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