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theorem proved term proof

embed_lt_iff_of_one_lt

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formal statement (Lean)

 679theorem embed_lt_iff_of_one_lt (γ : Generator) (hγ : 1 < γ.value) (a b : LogicNat) :
 680    embed γ a < embed γ b ↔ a < b := by

proof body

Term-mode proof.

 681  rw [embed_eq_pow, embed_eq_pow, pow_lt_pow_iff_of_one_lt hγ, ← LogicNat.toNat_lt]
 682
 683/-- **Embedding is strictly monotone for γ > 1**. -/

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depends on (13)

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