WellFounded.has_min

∀ {α : Type u_4} {r : α → α → Prop}, WellFounded r → ∀ (s : Set α), s.Nonempty → ∃ a ∈ s, ∀ x ∈ s, ¬r x a

If r is a well-founded relation, then any nonempty set has a minimal element with respect to r.

Defined in: Mathlib.Order.WellFounded
Cited by: 26 results in Mathlib
Foundations: Depth 13 from the axioms · uses propext, Classical.choice, Quot.sound

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