[Imprint][Data Privacy Statement][E-Mail]

View long theorem info. View the proof. Back to main index. View the specification. View theorem base summary, View theorem base listing, the used properties by spec, the dependency list, the symbol table,

Proof step 39 from proof fair-sustains-implies-always (previous step)

◇ Boolvar, □ (R1(pm, S', S'') ∧ R2(pm, S', S'')), [:S | false ::- [PL □ R1(pm, S', S'') ∧ □ (last ⊃ Post1(pm, s, S);G1(pm, S, S'))] ∥ Boolvar ::- [PL S = s9]], I(pm, s3), RG-restr(pm, R1, G1, Pre1, Post1, I, R2, G2, Pre2, Post2), R2(pm, s3, S), I(pm, S), ¬ R2(pm, s3, s9) ⊦

User applied rule induction

And obtained the following new goals

Proof step 40:
[:S | false ::- [PL □ R1(pm, S', S'') ∧ □ (last ⊃ Post1(pm, s, S);G1(pm, S, S'))] ∥ Boolvar ::- [PL S = s9]], □ (R1(pm, S', S'') ∧ R2(pm, S', S'')), N = N'' +1 until Boolvar, \A ∀ N, Boolvar, R1, pm, S, R2, Post1, s, G1, s9, I, s3, Pre1, G2, Pre2, Post2. N < m → N = N'' +1 until Boolvar ∧ □ (R1(pm, S', S'') ∧ R2(pm, S', S'')) ∧ [:S | false ::- [PL □ R1(pm, S', S'') ∧ □ (last ⊃ Post1(pm, s, S);G1(pm, S, S'))] ∥ Boolvar ::- [PL S = s9]] ∧ I(pm, s3) ∧ RG-restr(pm, R1, G1, Pre1, Post1, I, R2, G2, Pre2, Post2) ∧ R2(pm, s3, S) ∧ I(pm, S) ∧ ¬ R2(pm, s3, s9) → false, m = N, I(pm, s3), RG-restr(pm, R1, G1, Pre1, Post1, I, R2, G2, Pre2, Post2), R2(pm, s3, S), I(pm, S), ¬ R2(pm, s3, s9) ⊦

Rule argument

indvar: ◇ Boolvar wfpred: <

Additional information

Used simplifier rules: <; (wellfounded) Used terms: ◇ Boolvar