Nuprl Lemma : right-indices_wf
∀[g:Game]. (right-indices(g) ∈ Type)
Proof
Definitions occuring in Statement :
right-indices: right-indices(g),
Game: Game,
uall: ∀[x:A]. B[x],
member: t ∈ T,
universe: Type
Definitions unfolded in proof :
uall: ∀[x:A]. B[x],
member: t ∈ T,
subtype_rel: A ⊆r B,
all: ∀x:A. B[x],
implies: P ⇒ Q,
GameA: GameA{i:l}(),
right-indices: right-indices(g),
pi1: fst(t),
pi2: snd(t),
prop: ℙ
Lemmas referenced :
Game_subtype,
GameA_wf,
GameB_wf,
Game_wf,
equal_wf
Rules used in proof :
sqequalSubstitution,
sqequalTransitivity,
computationStep,
sqequalReflexivity,
isect_memberFormation,
introduction,
cut,
hypothesisEquality,
applyEquality,
thin,
extract_by_obid,
hypothesis,
sqequalHypSubstitution,
sqequalRule,
productEquality,
functionEquality,
cumulativity,
isectElimination,
lambdaFormation,
productElimination,
instantiate,
equalityTransitivity,
equalitySymmetry,
dependent_functionElimination,
independent_functionElimination,
axiomEquality
Latex:
\mforall{}[g:Game]. (right-indices(g) \mmember{} Type)
Date html generated:
2018_05_22-PM-09_52_25
Last ObjectModification:
2018_05_20-PM-10_36_43
Theory : Numbers!and!Games
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