Nuprl Lemma : left_move_add_inl_lemma
∀x,H,G:Top. (left-move(G ⊕ H;inl x) ~ left-move(G;x) ⊕ H)
Proof
Definitions occuring in Statement :
Game-add: G ⊕ H,
left-move: left-move(g;x),
top: Top,
all: ∀x:A. B[x],
inl: inl x,
sqequal: s ~ t
Definitions unfolded in proof :
all: ∀x:A. B[x],
Game-add: G ⊕ H,
left-move: left-move(g;x),
mkGame: {mkGame(f[a] with a:L | g[b] with b:R},
Wsup: Wsup(a;b),
pi2: snd(t),
member: t ∈ T
Lemmas referenced :
top_wf
Rules used in proof :
sqequalSubstitution,
sqequalTransitivity,
computationStep,
sqequalReflexivity,
lambdaFormation,
cut,
sqequalRule,
hypothesis,
introduction,
extract_by_obid
Latex:
\mforall{}x,H,G:Top. (left-move(G \moplus{} H;inl x) \msim{} left-move(G;x) \moplus{} H)
Date html generated:
2018_05_22-PM-09_53_04
Last ObjectModification:
2018_05_20-PM-10_40_02
Theory : Numbers!and!Games
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