Nuprl Lemma : s-group_subtype1
s-Group ⊆r s-GroupStructure
Proof
Definitions occuring in Statement :
s-group: s-Group,
s-group-structure: s-GroupStructure,
subtype_rel: A ⊆r B
Definitions unfolded in proof :
s-group: s-Group,
subtype_rel: A ⊆r B,
member: t ∈ T,
uall: ∀[x:A]. B[x],
prop: ℙ
Lemmas referenced :
s-group-structure_wf,
s-group-axioms_wf
Rules used in proof :
sqequalSubstitution,
sqequalTransitivity,
computationStep,
sqequalReflexivity,
lambdaEquality,
setElimination,
thin,
rename,
hypothesisEquality,
setEquality,
cut,
introduction,
extract_by_obid,
hypothesis,
cumulativity,
sqequalHypSubstitution,
isectElimination
Latex:
s-Group \msubseteq{}r s-GroupStructure
Date html generated:
2017_10_02-PM-03_24_46
Last ObjectModification:
2017_06_23-AM-11_21_43
Theory : constructive!algebra
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