[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 10 from proof fair-never-violates-left-rely (previous step)

N = N'' + 1 until Boolvar, □ (R1(pm, S', S'') ∧ R2(pm, S', S'')), [:S | Boolvar ::- [PL S = s] ∥ false ::- [PL S = s4]], \A ∀ N, R1, pm, S, R2, Boolvar, s, Post2, s1, G2, G1, Pre1, Post1, I, Pre2, s0. N < n → □ (R1(pm, S', S'') ∧ R2(pm, S', S'')) ∧ N = N'' +1 until Boolvar ∧ [:S | Boolvar ::- [PL S = s] ∥ false ::- [PL R2(pm, S', S'') -+-> (last ⊃ Post2(pm, s1, S);G2(pm, S, S'))]] ∧ RG-restr(pm, R1, G1, Pre1, Post1, I, R2, G2, Pre2, Post2) ∧ Pre2(pm, s1) ∧ I(pm, s0) ∧ R1(pm, s0, S) ∧ I(pm, S) ∧ I(pm, s1) ∧ ¬ R1(pm, s0, s) → false, n = N + 1, R1(pm, s0, S), R1(pm, s2, s3), G2(pm, s2, s3), I(pm, s1), I(pm, s2), R2(pm, s3, S), R1(pm, s3, S), R1(pm, s0, s2), I(pm, s0), Pre2(pm, s1), RG-restr(pm, R1, G1, Pre1, Post1, I, R2, G2, Pre2, Post2), I(pm, S), I(pm, s3), R1(pm, s2, S), R1(pm, s0, s3), ¬ R2(pm, s3, s4), ¬ R1(pm, s0, s) ⊦

User applied rule step

And closed the goal!

Rule argument

args:[positions: , ]

Additional information