Nuprl Lemma : sg-legal2_wf
∀[g:SimpleGame]. ∀[x,y:Pos(g)]. (Legal2(x;y) ∈ ℙ)
Proof
Definitions occuring in Statement :
sg-legal2: Legal2(x;y),
sg-pos: Pos(g),
simple-game: SimpleGame,
uall: ∀[x:A]. B[x],
prop: ℙ,
member: t ∈ T
Definitions unfolded in proof :
uall: ∀[x:A]. B[x],
member: t ∈ T,
sg-legal2: Legal2(x;y),
simple-game: SimpleGame,
pi2: snd(t),
sg-pos: Pos(g),
pi1: fst(t)
Lemmas referenced :
sg-pos_wf,
simple-game_wf
Rules used in proof :
sqequalSubstitution,
sqequalTransitivity,
computationStep,
sqequalReflexivity,
isect_memberFormation,
introduction,
cut,
sqequalRule,
sqequalHypSubstitution,
productElimination,
thin,
applyEquality,
hypothesisEquality,
hypothesis,
axiomEquality,
equalityTransitivity,
equalitySymmetry,
extract_by_obid,
isectElimination,
isect_memberEquality,
because_Cache
Latex:
\mforall{}[g:SimpleGame]. \mforall{}[x,y:Pos(g)]. (Legal2(x;y) \mmember{} \mBbbP{})
Date html generated:
2018_07_25-PM-01_31_18
Last ObjectModification:
2018_06_06-AM-10_44_11
Theory : co-recursion
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