Finset.forall_of_forall_cons

∀ {α : Type u_1} {s : Finset α} {a : α} {p : α → Prop} {h : a ∉ s}, (∀ x ∈ Finset.cons a s h, p x) → ∀ x ∈ s, p x

Useful in proofs by induction.

Defined in: Mathlib.Data.Finset.Insert
Cited by: 5 results in Mathlib
Foundations: Depth 57 from the axioms · uses propext, Classical.choice, Quot.sound

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