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Theorems · Theorem · logic and foundations

Cardinal.three_le

Deprecated since 2026-02-17Use Cardinal.exists_ne_ne_of_three_le instead.

∀ {α : Type u_1}, 3 ≤ Cardinal.mk α → ∀ (x y : α), ∃ z, z ≠ x ∧ z ≠ y

Alias of Cardinal.exists_ne_ne_of_three_le.

Defined in
Mathlib.SetTheory.Cardinal.Basic
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Foundations
Depth 78 from the axioms · uses propext, Classical.choice, Quot.sound

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