case S_axiom nv₁ nv₂ e =>
  cases nv₁; cases nv₂; constructor <;> try assumption
  simp at e
  assumption
θ₁ θ₂ : Sinf_term
Δ : Ctx Sinf
nv₁ : NoVars (θ₁↗)
nv₂ : NoVars (θ₂↗)
e : Sinf_const.eval (Sinf_const.coerce (θ₁↗) nv₁) = Sinf_const.eval (Sinf_const.coerce (θ₂↗) nv₂)
⊢ Δ ⋁ θ₁ =ₛ θ₂
no goals