Proof 01. 1 ⊢ x ∈ ∅, hypo. 02. 1 ⊢ x ∈ A, empty_efq 1. 03. ⊢ x ∈ ∅ → x ∈ A, subj_intro 2. 04. ⊢ ∀x. x ∈ ∅ → x ∈ A, uq_intro 3. empty_set_is_least. ⊢ ∅ ⊆ A, incl_intro 4.
DependenciesThe given proof depends on three axioms:comp, efq, eq_subst.