matita/matita/lib/lambda-delta/reduction/tpr_tps.ma

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  14
  15 include "lambda-delta/reduction/lpr.ma".
  16
  17 (* CONTEXT-FREE PARALLEL REDUCTION ON TERMS *********************************)
  18
  19 axiom tpr_tps_lpr: ∀L1,L2. L1 ⇒ L2 → ∀T1,T2. T1 ⇒ T2 →
  20                    ∀d,e,U1. L1 ⊢ T1 [d, e] ≫ U1 →
  21                    ∃∃U2. U1 ⇒ U2 & L2 ⊢ T2 [d, e] ≫ U2.
  22
  23 lemma tpr_tps_bind: ∀I,V1,V2,T1,T2,U1. V1 ⇒ V2 → T1 ⇒ T2 →
  24                     ⋆. 𝕓{I} V1 ⊢ T1 [0, 1] ≫ U1 →
  25                     ∃∃U2. U1 ⇒ U2 & ⋆. 𝕓{I} V2 ⊢ T2 [0, 1] ≫ U2.
  26 /3 width=5/ qed.