Nuprl Lemma : mobj-data_wf
∀[s:MutualRectypeSpec]. ∀[x:mobj(s)]. (mobj-data(x) ∈ mtype(s;mobj-kind(x)))
Proof
Definitions occuring in Statement :
mobj-data: mobj-data(x),
mobj-kind: mobj-kind(x),
mobj: mobj(L),
mtype: mtype(L;i),
mrec_spec: MutualRectypeSpec,
uall: ∀[x:A]. B[x],
member: t ∈ T
Definitions unfolded in proof :
uall: ∀[x:A]. B[x],
member: t ∈ T,
mobj-data: mobj-data(x),
mobj: mobj(L),
pi2: snd(t),
mobj-kind: mobj-kind(x),
pi1: fst(t)
Lemmas referenced :
mobj_wf,
mrec_spec_wf
Rules used in proof :
sqequalSubstitution,
sqequalTransitivity,
computationStep,
sqequalReflexivity,
Error :isect_memberFormation_alt,
introduction,
cut,
sqequalRule,
sqequalHypSubstitution,
productElimination,
thin,
hypothesisEquality,
hypothesis,
axiomEquality,
equalityTransitivity,
equalitySymmetry,
Error :universeIsType,
extract_by_obid,
isectElimination,
Error :isect_memberEquality_alt,
Error :isectIsTypeImplies,
Error :inhabitedIsType
Latex:
\mforall{}[s:MutualRectypeSpec]. \mforall{}[x:mobj(s)]. (mobj-data(x) \mmember{} mtype(s;mobj-kind(x)))
Date html generated:
2019_06_20-PM-02_15_21
Last ObjectModification:
2019_02_28-PM-02_37_06
Theory : tuples
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