Finset.forall_mem_insert

∀ {α : Type u_1} [inst : DecidableEq α] (a : α) (s : Finset α) (p : α → Prop),
  (∀ x ∈ insert a s, p x) ↔ p a ∧ ∀ x ∈ s, p x

Defined in: Mathlib.Data.Finset.Insert
Cited by: 19 results in Mathlib
Foundations: Depth 56 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes: DecidableEq

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