Nuprl Lemma : iabgrp_wf
IAbGrp{i} ∈ 𝕌'
Proof
Definitions occuring in Statement :
iabgrp: IAbGrp{i},
member: t ∈ T,
universe: Type
Definitions unfolded in proof :
iabgrp: IAbGrp{i},
member: t ∈ T,
uall: ∀[x:A]. B[x],
igrp: IGroup,
imon: IMonoid,
prop: ℙ
Lemmas referenced :
igrp_wf,
comm_wf,
grp_car_wf,
grp_op_wf
Rules used in proof :
sqequalSubstitution,
sqequalTransitivity,
computationStep,
sqequalReflexivity,
setEquality,
cut,
lemma_by_obid,
hypothesis,
cumulativity,
sqequalHypSubstitution,
isectElimination,
thin,
setElimination,
rename,
hypothesisEquality
Latex:
IAbGrp\{i\} \mmember{} \mBbbU{}'
Date html generated:
2016_05_15-PM-00_09_11
Last ObjectModification:
2015_12_26-PM-11_45_30
Theory : groups_1
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