Nuprl Lemma : gcopower_sig_wf
∀s:PosetSig. ∀g:GrpSig. (gcopower_sig{i:l}(s;g) ∈ 𝕌')
Proof
Definitions occuring in Statement :
gcopower_sig: gcopower_sig{i:l}(s;g),
all: ∀x:A. B[x],
member: t ∈ T,
universe: Type,
grp_sig: GrpSig,
poset_sig: PosetSig
Definitions unfolded in proof :
gcopower_sig: gcopower_sig{i:l}(s;g),
all: ∀x:A. B[x],
member: t ∈ T,
uall: ∀[x:A]. B[x],
abgrp: AbGrp,
grp: Group{i},
mon: Mon
Lemmas referenced :
grp_sig_wf,
set_car_wf,
grp_car_wf,
abgrp_wf,
poset_sig_wf
Rules used in proof :
sqequalSubstitution,
sqequalRule,
sqequalReflexivity,
sqequalTransitivity,
computationStep,
lambdaFormation,
cut,
productEquality,
lemma_by_obid,
hypothesis,
cumulativity,
functionEquality,
sqequalHypSubstitution,
isectElimination,
thin,
hypothesisEquality,
setElimination,
rename
Latex:
\mforall{}s:PosetSig. \mforall{}g:GrpSig. (gcopower\_sig\{i:l\}(s;g) \mmember{} \mBbbU{}')
Date html generated:
2016_05_16-AM-08_13_37
Last ObjectModification:
2015_12_28-PM-06_09_38
Theory : polynom_1
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