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Theorems · Theorem · logic and foundations

Cardinal.aleph_max

∀ (o₁ o₂ : Ordinal.{u_1}), Cardinal.aleph (max o₁ o₂) = max (Cardinal.aleph o₁) (Cardinal.aleph o₂)
Defined in
Mathlib.SetTheory.Cardinal.Aleph
Cited by
2 results in Mathlib
Foundations
Depth 91 from the axioms · uses propext, Classical.choice, Quot.sound
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Cardinal.aleph_add_aleph · cited by 0Cardinal.aleph_add_alephCardinal.aleph_mul_aleph · cited by 0Cardinal.aleph_mul_alephDFunLike.coe · cited by 62936DFunLike.coeCardinal · cited by 2598CardinalOrdinal · cited by 1688OrdinalOrderEmbedding · cited by 619OrderEmbeddingCardinal.aleph · cited by 76Cardinal.alephMonotone.map_max · cited by 55Monotone.map_maxOrderEmbedding.monotone · cited by 26OrderEmbedding.monotoneCardinal.aleph_maxCITED BYCITES

Cites7

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Cited by2

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