recognition /
Foundation /
Foundation.ArithmeticOf /
explainer
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formal statement (Lean)
58 structure IsInitial (A : PeanoObject) where
59 lift : ∀ B : PeanoObject, Hom A B
60 uniq : ∀ (B : PeanoObject) (f g : Hom A B), f.toFun = g.toFun
61
62 end PeanoObject
63
64 /-- The arithmetic object forced by a Law-of-Logic realization. -/
used by (5)
From the project-wide theorem graph. These declarations reference this one in their body.
ArithmeticOf
in IndisputableMonolith.Foundation.ArithmeticOf
decl_use
logicNat_initial
in IndisputableMonolith.Foundation.ArithmeticOf
decl_use
realization_initial
in IndisputableMonolith.Foundation.ArithmeticOf
decl_use
LawvereNNO
in IndisputableMonolith.Foundation.CategoricalLogicRealization
decl_use
isInitial
in IndisputableMonolith.Foundation.UniversalForcing.NaturalNumberObject
decl_use
depends on (10)
Lean names referenced from this declaration's body.
of
in IndisputableMonolith.Astrophysics.NucleosynthesisTiers
decl_use
Hom
in IndisputableMonolith.Foundation.ArithmeticOf
decl_use
PeanoObject
in IndisputableMonolith.Foundation.ArithmeticOf
decl_use
of
in IndisputableMonolith.Foundation.DAlembert.LedgerFactorization
decl_use
A
in IndisputableMonolith.Foundation.IntegrationGap
decl_use
of
in IndisputableMonolith.Foundation.PhiForcingDerived
decl_use
of
in IndisputableMonolith.Foundation.SpectralEmergence
decl_use
of
in IndisputableMonolith.Information.PhysicsComplexityStructure
decl_use
A
in IndisputableMonolith.Masses.Anchor
decl_use
A
in IndisputableMonolith.Modal.Actualization
decl_use