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Theorem rg2-lem1-term-unfair

[:S | [PL R1(pm, S', S'') -+-> (last ⊃ Post1(pm, s, S);G1(pm, S, S')) ∧ ◇ ¬ R1(pm, S', S'')] ∥nf [PL R2(pm, S', S'') -+-> (last ⊃ Post2(pm, s, S);G2(pm, S, S')) ∧ (□ R2(pm, S', S'') → ◇ last)] ], □ (R1(pm, S', S'') ∧ R2(pm, S', S'')), RG-restr(pm, R1, G1, Pre1, Post1, I, R2, G2, Pre2, Post2), Pre1(pm, s), Pre2(pm, s), I(pm, S) ⊦ ◇ last

Type: A user defined theorem
Validity: The proof is valid.
Features:
Comment:
Used by: rg2-sound+term-unfair-main,
Used by units in proved state:
Proof exists?: Yes

View the proof

Infos about the proof

Proved?: Yes
Interactions: 120
Proof steps: 211
Used lemmas: rg-blocked2-not-r2-term-unfair, i-r1-i, r1-trans, g2-r1, rg-blocked1-not-r1-term-unfair, i-r2-i, r2-trans, g1-r2, pre2-i,
Used spec theorems:
- Used simplifier rules:
  - nat-basic2/eq-01
  - nat/lels-03
  - nat/le-ls-simp
  - nat-basic2/eq
  - nat-basic2/succ
  - nat/lep-02
  - nat-basic2/oz
  - nat/le-one
  - nat-basic1/f
  - nat-basic1/lf-01
  - nat/eqle-one
  - nat/les
  - nat-basic2/l
  - nat-basic2/s
  - nat-basic1/ref-1
  - nat-basic2/c
  - nat-basic2/a
  - nat/lep
  - nat/lels