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formal statement (Lean)
262theorem H_ge_one (x : ℝ) (hx : 0 < x) : 1 ≤ H x := by
proof body
Term-mode proof.
263 unfold H
264 have hJ : 0 ≤ J x := J_nonneg x hx
265 linarith
266
267/-- A positive input determines a canonical shifted-monoid element. -/
used by (2)
From the project-wide theorem graph. These declarations reference this one in their body.
-
shiftedHValueOf
in IndisputableMonolith.Algebra.CostAlgebra
decl_use
-
shiftedOfH
in IndisputableMonolith.Algebra.CostAlgebra
decl_use
depends on (8)
Lean names referenced from this declaration's body.
-
H
in IndisputableMonolith.Algebra.CostAlgebra
decl_use
-
H
in IndisputableMonolith.Cost.FunctionalEquation
decl_use
-
canonical
in IndisputableMonolith.Foundation.ArithmeticOf
decl_use
-
A
in IndisputableMonolith.Foundation.IntegrationGap
decl_use
-
canonical
in IndisputableMonolith.Gap45.Beat
decl_use
-
A
in IndisputableMonolith.Masses.Anchor
decl_use
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A
in IndisputableMonolith.Modal.Actualization
decl_use
-
canonical
in IndisputableMonolith.NavierStokes.RM2U.NonParasitism
decl_use