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formal statement (Lean)
42theorem prove_upper_bound_le {I : Interval} {x : ℝ} {b : ℚ}
43 (h_contains : I.contains x) (h_hi : I.hi ≤ b) : x ≤ (b : ℝ) :=
proof body
Term-mode proof.
44 I.hi_le_implies_contains_le h_hi h_contains
45
46/-- Prove that φ is in its interval -/
depends on (11)
Lean names referenced from this declaration's body.
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contains
in IndisputableMonolith.Ethics.StakeGraph
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is
in IndisputableMonolith.Foundation.OptionAEmpiricalProgram
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is
in IndisputableMonolith.Foundation.SimplicialLedger.EdgeLengthFromPsi
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is
in IndisputableMonolith.GameTheory.MechanismDesignFromSigma
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is
in IndisputableMonolith.Mathematics.RamanujanBridge.MockThetaPhantom
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that
in IndisputableMonolith.NumberTheory.PhiLadderLattice
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contains
in IndisputableMonolith.Numerics.Interval.Basic
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hi_le_implies_contains_le
in IndisputableMonolith.Numerics.Interval.Basic
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Interval
in IndisputableMonolith.Numerics.Interval.Basic
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Interval
in IndisputableMonolith.Recognition.Certification
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interval
in IndisputableMonolith.Unification.SpacetimeEmergence
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