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formal statement (Lean)
172theorem e_gt_phi : phi < Real.exp 1 := by
proof body
Term-mode proof.
173 have h1 : phi < 2 := phi_lt_two
174 have h2 : Real.exp 1 > 2 := e_gt_two
175 linarith
176
177/-- e ≠ φ: e and φ are distinct constants. -/
used by (1)
From the project-wide theorem graph. These declarations reference this one in their body.
-
e_ne_phi
in IndisputableMonolith.Mathematics.Euler
decl_use
depends on (7)
Lean names referenced from this declaration's body.
-
phi_lt_two
in IndisputableMonolith.Constants
decl_use
-
phi_lt_two
in IndisputableMonolith.Derivations.MassToLight
decl_use
-
phi_lt_two
in IndisputableMonolith.Foundation.PhiForcing
decl_use
-
phi_lt_two
in IndisputableMonolith.Information.RecognitionEntropy
decl_use
-
e_gt_two
in IndisputableMonolith.Mathematics.Euler
decl_use
-
phi_lt_two
in IndisputableMonolith.Mathematics.Euler
decl_use
-
and
in IndisputableMonolith.NumberTheory.CirclePhaseLift
decl_use