Saturate tr saturate s Tr
Cslib.LTS.saturate_tr_saturate_sTr
Plain-language statement
In a saturated LTS, the transition and saturated transition relations are the same.
Exact Lean statement
theorem saturate_tr_saturate_sTr [hHasTau : HasTau Label] (lts : LTS State Label)
(hμ : μ = hHasTau.τ) : lts.saturate.Tr s μ = lts.saturate.STr s μFormal artifact
Lean source
theorem saturate_tr_saturate_sTr [hHasTau : HasTau Label] (lts : LTS State Label) (hμ : μ = hHasTau.τ) : lts.saturate.Tr s μ = lts.saturate.STr s μ := by ext s' apply Iff.intro <;> intro h case mp => cases h case refl => constructor case tr hstr1 htr hstr2 => apply STr.single exact STr.tr hstr1 htr hstr2 case mpr => cases h case refl => constructor case tr hstr1 htr hstr2 => rw [saturate_τsTr_τSTr_iff lts] at hstr1 hstr2 rw [←sTr_τSTr_iff lts] at hstr1 hstr2 exact STr.comp hstr1 htr hstr2- Project
- Lean Computer Science Library
- License
- Apache-2.0
- Commit
- f36649cff2c9
- Source
- Cslib/Foundations/Semantics/LTS/HasTau.lean:118-134
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Related declarations
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Plain-language statement
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Source project: Lean Computer Science Library
Person-level attribution pending.
Buchi Family cover
Cslib.Automata.NA.Buchi.buchiFamily_cover
Project documentation
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Source project: Lean Computer Science Library
Person-level attribution pending.
Buchi Family saturation
Cslib.Automata.NA.Buchi.buchiFamily_saturation
Plain-language statement
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Source project: Lean Computer Science Library
Person-level attribution pending.