Execution to m Tr
Cslib.LTS.Execution.to_mTr
Plain-language statement
Converts an execution into a multistep transition.
Exact Lean statement
@[scoped grind →]
theorem Execution.to_mTr (hexec : lts.Execution s1 μs s2 ss) :
lts.MTr s1 μs s2Formal artifact
Lean source
@[scoped grind →]theorem Execution.to_mTr (hexec : lts.Execution s1 μs s2 ss) : lts.MTr s1 μs s2 := by induction ss generalizing s1 μs case nil => grind case cons s1' ss ih => let ⟨hlen, hstart, hfinal, hexec'⟩ := hexec have : s1' = s1 := by grind rw [this] at hexec' hexec cases μs · grind case cons μ μs => specialize ih (s1 := ss[0]'(by grind)) (μs := μs) apply Execution.cons_invert at hexec apply MTr.stepL · have : lts.Tr s1 μ (ss[0]'(by grind)) := by grind apply this · grind- Project
- Lean Computer Science Library
- License
- Apache-2.0
- Commit
- f36649cff2c9
- Source
- Cslib/Foundations/Semantics/LTS/Execution.lean:68-85
Reuse this declaration
Bring the exact result into your workflow
The import identifies the source module. Your project still needs the pinned package dependency shown on this page.
What this badge means
This completion status comes from the project or community source. It has not yet been represented here as an independent rebuild and axiom audit.
Continue in this project
Related declarations
Unique minimal
Cslib.Automata.DA.FinAcc.unique_minimal
Plain-language statement
The minimal DFA M accepting the language l is unique up to unique isomorphism.
Source project: Lean Computer Science Library
Person-level attribution pending.
Buchi Family cover
Cslib.Automata.NA.Buchi.buchiFamily_cover
Project documentation
na.buchiFamily is a cover if na has only finitely many states. This theorem uses the Ramsey theorem for infinite graphs and does not depend on any details of na.BuchiCongruence other than that it is of finite index.
Source project: Lean Computer Science Library
Person-level attribution pending.
Buchi Family saturation
Cslib.Automata.NA.Buchi.buchiFamily_saturation
Plain-language statement
na.buchiFamily saturates the ω-language accepted by na.
Source project: Lean Computer Science Library
Person-level attribution pending.