Nuprl Lemma : sg-legal2-change-init
∀[g:SimpleGame]. ∀[x,y,j:Top]. (Legal2(x;y) ~ Legal2(x;y))
Proof
Definitions occuring in Statement :
sg-change-init: g@j,
sg-legal2: Legal2(x;y),
simple-game: SimpleGame,
uall: ∀[x:A]. B[x],
top: Top,
sqequal: s ~ t
Definitions unfolded in proof :
pi2: snd(t),
spreadn: spread4,
sg-change-init: g@j,
sg-legal2: Legal2(x;y),
simple-game: SimpleGame,
member: t ∈ T,
uall: ∀[x:A]. B[x]
Lemmas referenced :
simple-game_wf,
top_wf
Rules used in proof :
hypothesis,
extract_by_obid,
cut,
because_Cache,
sqequalAxiom,
sqequalRule,
thin,
productElimination,
sqequalHypSubstitution,
introduction,
isect_memberFormation,
sqequalReflexivity,
computationStep,
sqequalTransitivity,
sqequalSubstitution
Latex:
\mforall{}[g:SimpleGame]. \mforall{}[x,y,j:Top]. (Legal2(x;y) \msim{} Legal2(x;y))
Date html generated:
2018_07_25-PM-01_35_25
Last ObjectModification:
2018_06_20-PM-03_50_12
Theory : co-recursion
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