Nuprl Lemma : norm_subgrp_wf
∀[g:GrpSig]. (NormSubGrp{i}(g) ∈ 𝕌')
Proof
Definitions occuring in Statement :
norm_subgrp: NormSubGrp{i}(g),
grp_sig: GrpSig,
uall: ∀[x:A]. B[x],
member: t ∈ T,
universe: Type
Definitions unfolded in proof :
norm_subgrp: NormSubGrp{i}(g),
uall: ∀[x:A]. B[x],
member: t ∈ T,
prop: ℙ,
and: P ∧ Q
Lemmas referenced :
grp_car_wf,
and_wf,
subgrp_p_wf,
norm_subset_p_wf,
grp_sig_wf
Rules used in proof :
sqequalSubstitution,
sqequalRule,
sqequalReflexivity,
sqequalTransitivity,
computationStep,
isect_memberFormation,
introduction,
cut,
setEquality,
functionEquality,
cumulativity,
lemma_by_obid,
sqequalHypSubstitution,
isectElimination,
thin,
hypothesisEquality,
hypothesis,
universeEquality,
axiomEquality,
equalityTransitivity,
equalitySymmetry
Latex:
\mforall{}[g:GrpSig]. (NormSubGrp\{i\}(g) \mmember{} \mBbbU{}')
Date html generated:
2016_05_15-PM-00_08_58
Last ObjectModification:
2015_12_26-PM-11_45_35
Theory : groups_1
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