recognition /
Foundation /
Foundation.UniversalForcing.Strict.Invariance /
explainer
No prose has been written for this declaration yet. The Lean source and graph data below render
without it.
generate prose now
formal statement (Lean)
18 def strict_arith_universal_initial (R : StrictLogicRealization) :
19 (StrictLogicRealization.arith R).peano.carrier ≃ ArithmeticFromLogic.LogicNat :=
proof body
Definition body.
20 (StrictLogicRealization.toLightweight R).orbitEquivLogicNat
21
22 /-- **Strict Universal Forcing.**
23
24 For any two strict Law-of-Logic realizations, the arithmetic derived from
25 their native law data is canonically equivalent. -/
depends on (17)
Lean names referenced from this declaration's body.
of
in IndisputableMonolith.Astrophysics.NucleosynthesisTiers
decl_use
carrier
in IndisputableMonolith.Engineering.CorticalNeuromodulationDevice
decl_use
carrier
in IndisputableMonolith.Engineering.PhantomCoupledGWAntennaSensitivity
decl_use
LogicNat
in IndisputableMonolith.Foundation.ArithmeticFromLogic
decl_use
of
in IndisputableMonolith.Foundation.DAlembert.LedgerFactorization
decl_use
is
in IndisputableMonolith.Foundation.OptionAEmpiricalProgram
decl_use
of
in IndisputableMonolith.Foundation.PhiForcingDerived
decl_use
from
in IndisputableMonolith.Foundation.PrimitiveDistinction
decl_use
is
in IndisputableMonolith.Foundation.SimplicialLedger.EdgeLengthFromPsi
decl_use
of
in IndisputableMonolith.Foundation.SpectralEmergence
decl_use
arith
in IndisputableMonolith.Foundation.UniversalForcing.StrictRealization
decl_use
StrictLogicRealization
in IndisputableMonolith.Foundation.UniversalForcing.StrictRealization
decl_use
toLightweight
in IndisputableMonolith.Foundation.UniversalForcing.StrictRealization
decl_use
is
in IndisputableMonolith.GameTheory.MechanismDesignFromSigma
decl_use
of
in IndisputableMonolith.Information.PhysicsComplexityStructure
decl_use
is
in IndisputableMonolith.Mathematics.RamanujanBridge.MockThetaPhantom
decl_use
two
in IndisputableMonolith.QFT.SpinStatistics
decl_use