Nuprl Lemma : subtype_rel_grp
GrpSig ⊆r GrpSig{[i | j]}
Proof
Definitions occuring in Statement :
grp_sig: GrpSig,
subtype_rel: A ⊆r B
Definitions unfolded in proof :
grp_sig: GrpSig,
uall: ∀[x:A]. B[x],
member: t ∈ T,
so_lambda: λ2x.t[x],
so_apply: x[s],
uimplies: b supposing a,
subtype_rel: A ⊆r B,
all: ∀x:A. B[x]
Lemmas referenced :
subtype_rel_product,
bool_wf,
subtype_rel_self
Rules used in proof :
sqequalSubstitution,
sqequalTransitivity,
computationStep,
sqequalReflexivity,
cut,
instantiate,
lemma_by_obid,
sqequalHypSubstitution,
isectElimination,
thin,
cumulativity,
universeEquality,
sqequalRule,
lambdaEquality,
productEquality,
functionEquality,
hypothesisEquality,
hypothesis,
independent_isectElimination,
lambdaFormation
Latex:
GrpSig \msubseteq{}r GrpSig\{[i | j]\}
Date html generated:
2016_05_15-PM-00_06_26
Last ObjectModification:
2015_12_26-PM-11_47_28
Theory : groups_1
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