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Foundation.ArithmeticFromLogic /
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formal statement (Lean)
80 @[simp] def succ (n : LogicNat) : LogicNat := .step n
proof body
Definition body.
81
82 /-! ## 3. Peano Axioms as Theorems
83
84 Each axiom is a theorem of the inductive structure. None is posited.
85 -/
86
87 /-- **Peano P1 (zero is not a successor)**: the identity is
88 distinguishable from any iterate of the generator. -/
used by (40)
From the project-wide theorem graph. These declarations reference this one in their body.
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reach_mem_ballP
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ReachN
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ballFS
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ballFS_card_le_geom
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ballP
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mem_ballFS_iff_ballP
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ballP
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ballP_subset_inBall
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reach_mem_ballP
in IndisputableMonolith.Causality.Reach
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ReachN
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Chain
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fragility
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run
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clay_bridge_theorem
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demoRecognitionScenario
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main_resolution
in IndisputableMonolith.Complexity.ComputationBridge
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geoFamily_poly_bound
in IndisputableMonolith.Complexity.SAT.GeoFamily
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log2_succ_le
in IndisputableMonolith.Complexity.SAT.GeoFamily
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maxOctantLevel
in IndisputableMonolith.Complexity.SAT.GeoFamily
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maxOctantLevel_le
in IndisputableMonolith.Complexity.SAT.GeoFamily
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mortonOctantFamily_size_bound
in IndisputableMonolith.Complexity.SAT.GeoFamily
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succ_le_two_pow
in IndisputableMonolith.Complexity.SAT.GeoFamily
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buildPeelingResult
in IndisputableMonolith.Complexity.SAT.PC
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PeelingData
in IndisputableMonolith.Complexity.SAT.PC
decl_use
PeelingResult
in IndisputableMonolith.Complexity.SAT.PC
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HasPolySize
in IndisputableMonolith.Complexity.SAT.SmallBias
decl_use
linearFamily
in IndisputableMonolith.Complexity.SAT.SmallBias
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linearFamily_length_bound
in IndisputableMonolith.Complexity.SAT.SmallBias
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… and 10 more
depends on (17)
Lean names referenced from this declaration's body.
of
in IndisputableMonolith.Astrophysics.NucleosynthesisTiers
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iterate
in IndisputableMonolith.Compat.FunctionIterate
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step
in IndisputableMonolith.Complexity.CellularAutomata
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LogicNat
in IndisputableMonolith.Foundation.ArithmeticFromLogic
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of
in IndisputableMonolith.Foundation.DAlembert.LedgerFactorization
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identity
in IndisputableMonolith.Foundation.ObserverForcing
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is
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of
in IndisputableMonolith.Foundation.PhiForcingDerived
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from
in IndisputableMonolith.Foundation.PrimitiveDistinction
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as
in IndisputableMonolith.Foundation.SimplicialLedger.ContinuumBridge
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is
in IndisputableMonolith.Foundation.SimplicialLedger.EdgeLengthFromPsi
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of
in IndisputableMonolith.Foundation.SpectralEmergence
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is
in IndisputableMonolith.GameTheory.MechanismDesignFromSigma
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of
in IndisputableMonolith.Information.PhysicsComplexityStructure
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is
in IndisputableMonolith.Mathematics.RamanujanBridge.MockThetaPhantom
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succ
in IndisputableMonolith.RRF.Core.Vantage
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identity
in IndisputableMonolith.RRF.Foundation.VantageCategory
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