 Cardinal exponentiation between two and the exponent

ID: cardinal-exponentiation-between-two-and-the-exponent

Codex  0 Created 2026-09-29 Updated 2026-10-03

λ

is infinite and

2 \leq κ \leq λ

, then

κ^{λ} = 2^{λ} .

Indeed,

2^{λ} \leq κ^{λ} \leq λ^{λ} \leq (2^{λ})^{λ} = 2^{λλ} = 2^{λ} .

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