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feat: change context notation to ·<[·] #393

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2 changes: 1 addition & 1 deletion Cslib/Foundations/Syntax/Congruence.lean
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Expand Up @@ -15,6 +15,6 @@ namespace Cslib

/-- An equivalence relation preserved by all contexts. -/
class Congruence (α : Type*) [HasContext α] (r : α → α → Prop) extends
IsEquiv α r, covariant : CovariantClass (HasContext.Context α) α (·[·]) r
IsEquiv α r, covariant : CovariantClass (HasContext.Context α) α (·<[·]) r

end Cslib
2 changes: 1 addition & 1 deletion Cslib/Foundations/Syntax/Context.lean
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Expand Up @@ -19,6 +19,6 @@ class HasContext (Term : Sort*) where
/-- Replaces the hole in the context with a term. -/
fill (c : Context) (t : Term) : Term

@[inherit_doc] notation:max c "[" t "]" => HasContext.fill c t
@[inherit_doc] notation:max c "<[" t "]" => HasContext.fill c t
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@Shreyas4991 Shreyas4991 Mar 3, 2026

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Just a suggestion : You might want to add space on the inside of the block brackets. It's an aesthetic choice, but it might make terms look distinct from the surrounding context.


end Cslib
8 changes: 4 additions & 4 deletions Cslib/Languages/CCS/Basic.lean
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Expand Up @@ -123,14 +123,14 @@ instance : HasContext (Process Name Constant) := ⟨Context Name Constant, Conte

/-- Definition of context filling. -/
@[scoped grind =]
theorem isContext_def (c : Context Name Constant) (p : Process Name Constant) :
c[p] = c.fill p := rfl
theorem hasContext_def (c : Context Name Constant) (p : Process Name Constant) :
c<[p] = c.fill p := rfl

/-- Any `Process` can be obtained by filling a `Context` with an atom. This proves that `Context`
is a complete formalisation of syntactic contexts for CCS. -/
theorem Context.complete (p : Process Name Constant) :
∃ c : Context Name Constant, p = c[Process.nil] ∨
∃ k : Constant, p = c[Process.const k] := by
∃ c : Context Name Constant, p = c<[Process.nil] ∨
∃ k : Constant, p = c<[Process.const k] := by
induction p
case nil =>
exists hole
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