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15 include "basic_2/rt_transition/cpg_simple.ma".
16 include "basic_2/rt_transition/cpx.ma".
18 (* UNBOUND CONTEXT-SENSITIVE PARALLEL RT-TRANSITION FOR TERMS ***************)
20 (* Inversion lemmas with simple terms ***************************************)
22 lemma cpx_inv_appl1_simple: ∀h,G,L,V1,T1,U. ⦃G, L⦄ ⊢ ⓐV1.T1 ⬈[h] U → 𝐒⦃T1⦄ →
23 ∃∃V2,T2. ⦃G, L⦄ ⊢ V1 ⬈[h] V2 & ⦃G, L⦄ ⊢ T1 ⬈[h] T2 &
25 #h #G #L #V1 #T1 #U * #c #H #HT1 elim (cpg_inv_appl1_simple … H) -H
26 /3 width=5 by ex3_2_intro, ex_intro/