Nuprl Lemma : sg-legal1-normalize
∀[g:SimpleGame]. ∀[x,y:Top]. (Legal1(x;y) ~ Legal1(x;y))
Proof
Definitions occuring in Statement :
sg-normalize: sg-normalize(g),
sg-legal1: Legal1(x;y),
simple-game: SimpleGame,
uall: ∀[x:A]. B[x],
top: Top,
sqequal: s ~ t
Definitions unfolded in proof :
top: Top,
member: t ∈ T,
uall: ∀[x:A]. B[x],
sg-normalize: sg-normalize(g)
Lemmas referenced :
simple-game_wf,
top_wf,
sg-legal1-change-init
Rules used in proof :
because_Cache,
sqequalAxiom,
hypothesis,
voidEquality,
voidElimination,
isect_memberEquality,
hypothesisEquality,
thin,
isectElimination,
sqequalHypSubstitution,
extract_by_obid,
cut,
introduction,
isect_memberFormation,
computationStep,
sqequalTransitivity,
sqequalReflexivity,
sqequalRule,
sqequalSubstitution
Latex:
\mforall{}[g:SimpleGame]. \mforall{}[x,y:Top]. (Legal1(x;y) \msim{} Legal1(x;y))
Date html generated:
2018_07_25-PM-01_35_22
Last ObjectModification:
2018_06_20-PM-03_49_23
Theory : co-recursion
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