Nuprl Lemma : free-word-inv-append
∀[x:Top List]. ∀[y:Top]. (free-word-inv(x @ y) ~ free-word-inv(y) @ free-word-inv(x))
Proof
Definitions occuring in Statement :
free-word-inv: free-word-inv(w),
append: as @ bs,
list: T List,
uall: ∀[x:A]. B[x],
top: Top,
sqequal: s ~ t
Definitions unfolded in proof :
uall: ∀[x:A]. B[x],
member: t ∈ T,
free-word-inv: free-word-inv(w),
top: Top
Lemmas referenced :
map_append_sq,
reverse_append_sq,
top_wf,
list_wf
Rules used in proof :
sqequalSubstitution,
sqequalTransitivity,
computationStep,
sqequalReflexivity,
isect_memberFormation,
introduction,
cut,
sqequalRule,
extract_by_obid,
sqequalHypSubstitution,
isectElimination,
thin,
isect_memberEquality,
voidElimination,
voidEquality,
hypothesis,
hypothesisEquality,
axiomSqEquality,
because_Cache
Latex:
\mforall{}[x:Top List]. \mforall{}[y:Top]. (free-word-inv(x @ y) \msim{} free-word-inv(y) @ free-word-inv(x))
Date html generated:
2020_05_20-AM-08_22_28
Last ObjectModification:
2017_01_15-AM-00_31_11
Theory : free!groups
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