Nuprl Lemma : sg-init-change-init
∀[g:SimpleGame]. ∀[j:Top]. (InitialPos(g@j) ~ j)
Proof
Definitions occuring in Statement :
sg-change-init: g@j,
sg-init: InitialPos(g),
simple-game: SimpleGame,
uall: ∀[x:A]. B[x],
top: Top,
sqequal: s ~ t
Definitions unfolded in proof :
pi1: fst(t),
pi2: snd(t),
spreadn: spread4,
sg-init: InitialPos(g),
sg-change-init: g@j,
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,
sqequalAxiom,
sqequalRule,
thin,
productElimination,
sqequalHypSubstitution,
introduction,
isect_memberFormation,
sqequalReflexivity,
computationStep,
sqequalTransitivity,
sqequalSubstitution
Latex:
\mforall{}[g:SimpleGame]. \mforall{}[j:Top]. (InitialPos(g@j) \msim{} j)
Date html generated:
2018_07_25-PM-01_35_32
Last ObjectModification:
2018_06_20-PM-03_52_22
Theory : co-recursion
Home
Index