Nuprl Lemma : Game_ext
Game ≡ LR:GameA{i:l}() × (GameB(LR) ⟶ Game)
Proof
Definitions occuring in Statement :
Game: Game,
GameB: GameB(p),
GameA: GameA{i:l}(),
ext-eq: A ≡ B,
function: x:A ⟶ B[x],
product: x:A × B[x]
Definitions unfolded in proof :
uall: ∀[x:A]. B[x],
member: t ∈ T,
so_lambda: λ2x.t[x],
so_apply: x[s],
Game: Game
Lemmas referenced :
W-ext,
GameA_wf,
GameB_wf
Rules used in proof :
cut,
instantiate,
introduction,
extract_by_obid,
sqequalHypSubstitution,
sqequalSubstitution,
sqequalTransitivity,
computationStep,
sqequalReflexivity,
isectElimination,
thin,
hypothesis,
sqequalRule,
lambdaEquality,
cumulativity,
hypothesisEquality
Latex:
Game \mequiv{} LR:GameA\{i:l\}() \mtimes{} (GameB(LR) {}\mrightarrow{} Game)
Date html generated:
2018_05_22-PM-09_52_17
Last ObjectModification:
2018_05_20-PM-10_36_22
Theory : Numbers!and!Games
Home
Index