Nuprl Lemma : grp_subtype_igrp
Group{i} ⊆r IGroup
Proof
Definitions occuring in Statement :
grp: Group{i},
igrp: IGroup,
subtype_rel: A ⊆r B
Definitions unfolded in proof :
grp: Group{i},
mon: Mon,
igrp: IGroup,
imon: IMonoid,
uall: ∀[x:A]. B[x],
member: t ∈ T,
prop: ℙ
Lemmas referenced :
subtype_rel_self,
grp_sig_wf,
monoid_p_wf,
grp_car_wf,
grp_op_wf,
grp_id_wf,
inverse_wf,
grp_inv_wf
Rules used in proof :
sqequalSubstitution,
sqequalRule,
sqequalTransitivity,
computationStep,
sqequalReflexivity,
cut,
instantiate,
lemma_by_obid,
sqequalHypSubstitution,
isectElimination,
thin,
setEquality,
hypothesis,
cumulativity,
hypothesisEquality,
setElimination,
rename
Latex:
Group\{i\} \msubseteq{}r IGroup
Date html generated:
2016_05_15-PM-00_08_38
Last ObjectModification:
2015_12_26-PM-11_45_45
Theory : groups_1
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