Nuprl Lemma : play-len_wf
∀[g:SimpleGame]. ∀[n:ℕ]. ∀[s:win2strat(g;n)]. ∀[f:strat2play(g;n;s)]. (||f|| ∈ ℤ)
Proof
Definitions occuring in Statement :
strat2play: strat2play(g;n;s),
win2strat: win2strat(g;n),
play-len: ||moves||,
simple-game: SimpleGame,
nat: ℕ,
uall: ∀[x:A]. B[x],
member: t ∈ T,
int: ℤ
Definitions unfolded in proof :
uall: ∀[x:A]. B[x],
member: t ∈ T,
and: P ∧ Q
Lemmas referenced :
win2strat-strat2play-wf,
nat_wf,
simple-game_wf
Rules used in proof :
cut,
introduction,
extract_by_obid,
sqequalSubstitution,
sqequalTransitivity,
computationStep,
sqequalReflexivity,
isect_memberFormation,
hypothesis,
sqequalHypSubstitution,
isectElimination,
thin,
hypothesisEquality,
productElimination
Latex:
\mforall{}[g:SimpleGame]. \mforall{}[n:\mBbbN{}]. \mforall{}[s:win2strat(g;n)]. \mforall{}[f:strat2play(g;n;s)]. (||f|| \mmember{} \mBbbZ{})
Date html generated:
2018_07_25-PM-01_32_13
Last ObjectModification:
2018_06_12-AM-09_57_30
Theory : co-recursion
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