Nuprl Lemma : left_indices_add_lemma
∀H,G:Top.  (left-indices(G ⊕ H) ~ left-indices(G) + left-indices(H))
Proof
Definitions occuring in Statement : 
Game-add: G ⊕ H
, 
left-indices: left-indices(g)
, 
top: Top
, 
all: ∀x:A. B[x]
, 
union: left + right
, 
sqequal: s ~ t
Definitions unfolded in proof : 
all: ∀x:A. B[x]
, 
left-indices: left-indices(g)
, 
pi1: fst(t)
, 
Game-add: G ⊕ H
, 
mkGame: {mkGame(f[a] with a:L | g[b] with b:R}
, 
Wsup: Wsup(a;b)
, 
member: t ∈ T
Lemmas referenced : 
istype-top
Rules used in proof : 
sqequalSubstitution, 
sqequalTransitivity, 
computationStep, 
sqequalReflexivity, 
lambdaFormation_alt, 
cut, 
sqequalRule, 
hypothesis, 
inhabitedIsType, 
hypothesisEquality, 
introduction, 
extract_by_obid
Latex:
\mforall{}H,G:Top.    (left-indices(G  \moplus{}  H)  \msim{}  left-indices(G)  +  left-indices(H))
Date html generated:
2019_10_31-AM-06_35_05
Last ObjectModification:
2019_09_12-PM-01_40_31
Theory : Numbers!and!Games
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