Theorems · Theorem · logic and foundations
forall_mem_comm
∀ {α : Type u_1} {β : Type u_2} [inst : Membership α β] {s : β} {p : α → α → Prop},
(∀ a ∈ s, ∀ b ∈ s, p a b) ↔ ∀ (a b : α), a ∈ s → b ∈ s → p a b- Defined in
- Mathlib.Logic.Basic
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 3 from the axioms · uses no axioms
- Assumes
- Membership
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- forall_cond_commproof · cited by 1
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