Nuprl Lemma : ocgrp_wf
OGrp ∈ 𝕌'
Proof
Definitions occuring in Statement :
ocgrp: OGrp,
member: t ∈ T,
universe: Type
Definitions unfolded in proof :
ocgrp: OGrp,
member: t ∈ T,
uall: ∀[x:A]. B[x],
ocmon: OCMon,
abmonoid: AbMon,
mon: Mon,
prop: ℙ
Lemmas referenced :
ocmon_wf,
inverse_wf,
grp_car_wf,
grp_op_wf,
grp_id_wf,
grp_inv_wf
Rules used in proof :
sqequalSubstitution,
sqequalTransitivity,
computationStep,
sqequalReflexivity,
setEquality,
cut,
lemma_by_obid,
hypothesis,
cumulativity,
sqequalHypSubstitution,
isectElimination,
thin,
setElimination,
rename,
hypothesisEquality
Latex:
OGrp \mmember{} \mBbbU{}'
Date html generated:
2016_05_15-PM-00_12_57
Last ObjectModification:
2015_12_26-PM-11_42_11
Theory : groups_1
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