Nuprl Lemma : validForm_wf
∀[C:Type]. ∀[f:Form(C)]. (validForm(f) ∈ 𝔹)
Proof
Definitions occuring in Statement :
validForm: validForm(f),
Form: Form(C),
bool: 𝔹,
uall: ∀[x:A]. B[x],
member: t ∈ T,
universe: Type
Definitions unfolded in proof :
uall: ∀[x:A]. B[x],
member: t ∈ T,
validForm: validForm(f)
Lemmas referenced :
band_wf,
wfForm_wf,
SafeForm_wf,
Form_wf
Rules used in proof :
sqequalSubstitution,
sqequalTransitivity,
computationStep,
sqequalReflexivity,
isect_memberFormation,
introduction,
cut,
sqequalRule,
extract_by_obid,
sqequalHypSubstitution,
isectElimination,
thin,
cumulativity,
hypothesisEquality,
hypothesis,
axiomEquality,
equalityTransitivity,
equalitySymmetry,
isect_memberEquality,
because_Cache,
universeEquality
Latex:
\mforall{}[C:Type]. \mforall{}[f:Form(C)]. (validForm(f) \mmember{} \mBbbB{})
Date html generated:
2018_05_21-PM-11_39_07
Last ObjectModification:
2017_10_12-PM-06_00_57
Theory : PZF
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