Nuprl Lemma : ocgrp_abdgrp
∀[g:OGrp]. (g ∈ AbDGrp)
Proof
Definitions occuring in Statement :
ocgrp: OGrp,
abdgrp: AbDGrp,
uall: ∀[x:A]. B[x],
member: t ∈ T
Definitions unfolded in proof :
uall: ∀[x:A]. B[x],
member: t ∈ T,
subtype_rel: A ⊆r B
Lemmas referenced :
ocgrp_subtype_abdgrp,
ocgrp_wf
Rules used in proof :
sqequalSubstitution,
sqequalTransitivity,
computationStep,
sqequalReflexivity,
isect_memberFormation,
introduction,
cut,
hypothesisEquality,
applyEquality,
thin,
lemma_by_obid,
hypothesis,
sqequalHypSubstitution,
sqequalRule,
axiomEquality,
equalityTransitivity,
equalitySymmetry
Latex:
\mforall{}[g:OGrp]. (g \mmember{} AbDGrp)
Date html generated:
2016_05_15-PM-00_13_15
Last ObjectModification:
2015_12_26-PM-11_41_45
Theory : groups_1
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