simp only [Holds]
D : Type
I : Interpretation D
V' : VarAssignment D
E : Env
c : Char
τ : PredName → ℕ → Option (List VarName × Formula)
X : PredName
xs : List VarName
V : VarAssignment D
binders : Finset VarName
h2 : ∀ x ∉ binders, V' x = V x
h1 :
  if h : (τ X xs.length).isSome = true then
    xs.length = ((τ X xs.length).get ⋯).1.length →
      binders ∩ (((τ X xs.length).get ⋯).2.freeVarSet \ ((τ X xs.length).get ⋯).1.toFinset) = ∅
  else True
c1 : (τ X xs.length).isSome = true
c2 : ¬xs.length = ((τ X xs.length).get ⋯).1.length
⊢ I.pred_var_ X (List.map V xs) ↔ Holds D I V E (pred_var_ X xs)
no goals