Definition wf_equi

Definition. wf_equi
wf R M ↔ ∀A. A ⊆ M → ¬A = ∅ → ∃y. y ∈ A ∧ ¬∃x. x ∈ A ∧ (x, y) ∈ R

A relation R is called well-founded on M, if every non-empty set A ⊆ M posesses a minimal element y. The corresponding induction principle is shown by wf_induction_set and wf_induction.