right
v u : VarName
T : Finset VarName
h2 : u ∉ T
x : VarName
phi : Formula
S : Finset VarName
h1 : fastAdmitsAux v u (S ∪ {x}) phi
phi_ih : fastAdmitsAux v u (S ∪ {x} ∪ T) phi
⊢ v = x ∨ fastAdmitsAux v u (S ∪ (T ∪ {x})) phi
case h
v u : VarName
T : Finset VarName
h2 : u ∉ T
x : VarName
phi : Formula
S : Finset VarName
h1 : fastAdmitsAux v u (S ∪ {x}) phi
phi_ih : fastAdmitsAux v u (S ∪ {x} ∪ T) phi
⊢ fastAdmitsAux v u (S ∪ (T ∪ {x})) phi