Nuprl Lemma : C_TYPE_wf
C_TYPE() ∈ Type
Proof
Definitions occuring in Statement :
C_TYPE: C_TYPE(),
member: t ∈ T,
universe: Type
Definitions unfolded in proof :
C_TYPE: C_TYPE(),
member: t ∈ T,
uall: ∀[x:A]. B[x],
uimplies: b supposing a,
nat: ℕ,
so_lambda: λ2x.t[x],
so_apply: x[s],
prop: ℙ
Lemmas referenced :
C_TYPEco_wf,
has-value_wf-partial,
nat_wf,
set-value-type,
le_wf,
int-value-type,
C_TYPEco_size_wf
Rules used in proof :
sqequalSubstitution,
sqequalRule,
sqequalReflexivity,
sqequalTransitivity,
computationStep,
setEquality,
cut,
lemma_by_obid,
hypothesis,
sqequalHypSubstitution,
isectElimination,
thin,
independent_isectElimination,
intEquality,
lambdaEquality,
natural_numberEquality,
hypothesisEquality
Latex:
C\_TYPE() \mmember{} Type
Date html generated:
2016_05_16-AM-08_44_25
Last ObjectModification:
2015_12_28-PM-06_58_12
Theory : C-semantics
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