Nuprl Lemma : matom_ty_wf
∀g:GrpSig. (Atom{g} ∈ Type)
Proof
Definitions occuring in Statement :
matom_ty: Atom{g},
all: ∀x:A. B[x],
member: t ∈ T,
universe: Type,
grp_sig: GrpSig
Definitions unfolded in proof :
matom_ty: Atom{g},
all: ∀x:A. B[x],
member: t ∈ T,
uall: ∀[x:A]. B[x],
prop: ℙ
Lemmas referenced :
grp_car_wf,
matomic_wf,
grp_sig_wf
Rules used in proof :
sqequalSubstitution,
sqequalRule,
sqequalReflexivity,
sqequalTransitivity,
computationStep,
lambdaFormation,
cut,
setEquality,
lemma_by_obid,
sqequalHypSubstitution,
isectElimination,
thin,
hypothesisEquality,
hypothesis,
dependent_functionElimination
Latex:
\mforall{}g:GrpSig. (Atom\{g\} \mmember{} Type)
Date html generated:
2016_05_16-AM-07_44_22
Last ObjectModification:
2015_12_28-PM-05_53_49
Theory : factor_1
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