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formal statement (Lean)
45def equilibria (S : StrainFunctional State) : Set State :=
proof body
Definition body.
46 { x | S.isBalanced x }
47
48/-- A strain functional has a unique minimum if there's exactly one equilibrium. -/
used by (7)
From the project-wide theorem graph. These declarations reference this one in their body.
-
primeGapCategoryCount
in IndisputableMonolith.Mathematics.GoldbachFromRS
decl_use
-
comp
in IndisputableMonolith.RRF.Core.Octave
decl_use
-
equilibria
in IndisputableMonolith.RRF.Core.Octave
decl_use
-
isMinimizer
in IndisputableMonolith.RRF.Core.Strain
decl_use
-
equilibria
in IndisputableMonolith.RRF.Foundation.VantageCategory
decl_use
-
symm
in IndisputableMonolith.RRF.Foundation.VantageCategory
decl_use
-
comp_preserves_order
in IndisputableMonolith.RRF.Theorems.OctaveTransfer
decl_use
depends on (19)
Lean names referenced from this declaration's body.
-
State
in IndisputableMonolith.ClassicalBridge.Fluids.CPM2D
decl_use
-
isBalanced
in IndisputableMonolith.Cosmology.DarkEnergy
decl_use
-
has
in IndisputableMonolith.Engineering.AsteroidOreSpectroscopy
decl_use
-
one
in IndisputableMonolith.Foundation.IntegersFromLogic
decl_use
-
A
in IndisputableMonolith.Foundation.IntegrationGap
decl_use
-
one
in IndisputableMonolith.Foundation.RationalsFromLogic
decl_use
-
A
in IndisputableMonolith.Masses.Anchor
decl_use
-
A
in IndisputableMonolith.Modal.Actualization
decl_use
-
State
in IndisputableMonolith.NavierStokes.DiscreteVorticity
decl_use
-
equilibrium
in IndisputableMonolith.Physics.NonlinearDynamicsFromRS
decl_use
-
one
in IndisputableMonolith.QFT.SpinStatistics
decl_use
-
one
in IndisputableMonolith.RecogSpec.Core
decl_use
-
S
in IndisputableMonolith.Relativity.ILG.Action
decl_use
-
isBalanced
in IndisputableMonolith.RRF.Core.Glossary
decl_use
-
equilibria
in IndisputableMonolith.RRF.Core.Octave
decl_use
-
isBalanced
in IndisputableMonolith.RRF.Core.Strain
decl_use
-
StrainFunctional
in IndisputableMonolith.RRF.Core.Strain
decl_use
-
equilibria
in IndisputableMonolith.RRF.Foundation.VantageCategory
decl_use
-
isBalanced
in IndisputableMonolith.RRF.Foundation.VantageCategory
decl_use