Nuprl Lemma : Game_subtype

Game ⊆r (LR:GameA{i:l}() × (GameB(LR) ⟶ Game))


Proof




Definitions occuring in Statement :  Game: Game,  GameB: GameB(p),  GameA: GameA{i:l}(),  subtype_rel: A ⊆r B,  function: x:A ⟶ B[x],  product: x:A × B[x]
Definitions unfolded in proof :  ext-eq: A ≡ B,  and: P ∧ Q
Lemmas referenced :  Game_ext
Rules used in proof :  cut,  introduction,  extract_by_obid,  sqequalHypSubstitution,  sqequalSubstitution,  sqequalTransitivity,  computationStep,  sqequalReflexivity,  productElimination,  thin,  hypothesis

Latex:
Game  \msubseteq{}r  (LR:GameA\{i:l\}()  \mtimes{}  (GameB(LR)  {}\mrightarrow{}  Game))



Date html generated: 2018_05_22-PM-09_52_19
Last ObjectModification: 2018_05_20-PM-10_36_24

Theory : Numbers!and!Games


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