HasCardinalLT.exists_regular_cardinal

∀ (X : Type u) [Small.{w, u} X], ∃ κ, κ.IsRegular ∧ HasCardinalLT X κ

For any w-small type X, there exists a regular cardinal κ : Cardinal.{w} such that HasCardinalLT X κ.

Defined in: Mathlib.SetTheory.Cardinal.HasCardinalLT
Cited by: 1 results in Mathlib
Foundations: Depth 105 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes: Small

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