Is Simulation follow internal
Cslib.LTS.IsSimulation.follow_internal
Project documentation
Utility theorem for following internal transitions along a saturated lts.
Exact Lean statement
lemma IsSimulation.follow_internal [HasTau Label] {lts₁ : LTS State₁ Label}
{lts₂ : LTS State₂ Label} (h : IsSimulation lts₁ lts₂.saturate r) (hr : r s₁ s₂)
(hstr : lts₁.τSTr s₁ s₁') : ∃ s₂', lts₂.τSTr s₂ s₂' ∧ r s₁' s₂'Formal artifact
Lean source
lemma IsSimulation.follow_internal [HasTau Label] {lts₁ : LTS State₁ Label} {lts₂ : LTS State₂ Label} (h : IsSimulation lts₁ lts₂.saturate r) (hr : r s₁ s₂) (hstr : lts₁.τSTr s₁ s₁') : ∃ s₂', lts₂.τSTr s₂ s₂' ∧ r s₁' s₂' := by induction hstr case refl => use s₂, .refl case tail sb hrsb htrsb ih1 ih2 => obtain ⟨sb2, htrsb2, hrb⟩ := ih2 have ⟨sb2', htrsb2', hrb'⟩ := h _ _ hrb HasTau.τ _ ih1 use sb2', htrsb2.trans (lts₂.sTr_τSTr_iff.mp htrsb2')- Project
- Lean Computer Science Library
- License
- Apache-2.0
- Commit
- f36649cff2c9
- Source
- Cslib/Foundations/Semantics/LTS/Simulation.lean:173-182
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