lemma
proved
term proof
phi_rpow_mono
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formal statement (Lean)
235lemma phi_rpow_mono : Monotone (fun x : ℝ => goldenRatio ^ x) :=
proof body
Term-mode proof.
236 phi_rpow_strictMono.monotone
237
238/-- Interval propagation for φ^x: if lo ≤ x ≤ hi, then φ^lo ≤ φ^x ≤ φ^hi -/
used by (3)
From the project-wide theorem graph. These declarations reference this one in their body.
depends on (4)
Lean names referenced from this declaration's body.
-
for
in IndisputableMonolith.Foundation.UniversalForcingSelfReference
decl_use
-
Interval
in IndisputableMonolith.Numerics.Interval.Basic
decl_use
-
phi_rpow_strictMono
in IndisputableMonolith.Numerics.Interval.Pow
decl_use
-
Interval
in IndisputableMonolith.Recognition.Certification
decl_use