theorem
proved
term proof
affine_log_unique_under_normalizations
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formal statement (Lean)
217theorem affine_log_unique_under_normalizations
218 {a₁ c₁ a₂ c₂ : ℝ}
219 (h0₁ : gapAffineLogR a₁ phi c₁ 0 = 0)
220 (h1₁ : gapAffineLogR a₁ phi c₁ 1 = 1)
221 (h0₂ : gapAffineLogR a₂ phi c₂ 0 = 0)
222 (h1₂ : gapAffineLogR a₂ phi c₂ 1 = 1) :
223 ∀ Z : ℤ, gapAffineLog a₁ phi c₁ Z = gapAffineLog a₂ phi c₂ Z := by
proof body
Term-mode proof.
224 intro Z
225 rw [affine_log_collapses_to_canonical_gap h0₁ h1₁ Z]
226 rw [affine_log_collapses_to_canonical_gap h0₂ h1₂ Z]
227
228/-- Compact certificate for the three-point affine-log forcing closure. -/