theorem proved term proof

`succ_ne_zero`

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formal statement (Lean)

  93theorem succ_ne_zero (n : LogicNat) : succ n ≠ zero := by

proof body

Term-mode proof.

  94  intro h; cases h
  95
  96/-- **Peano P2 (successor injectivity)**: forced by the constructor
  97disjointness of the inductive type, which itself reflects the
  98injectivity of multiplication by the generator on the orbit. -/

used by (1)

From the project-wide theorem graph. These declarations reference this one in their body.

ordered_faithful in IndisputableMonolith.Foundation.OrderedLogicRealization decl_use

depends on (8)

Lean names referenced from this declaration's body.

of in IndisputableMonolith.Astrophysics.NucleosynthesisTiers decl_use
LogicNat in IndisputableMonolith.Foundation.ArithmeticFromLogic decl_use
succ in IndisputableMonolith.Foundation.ArithmeticFromLogic decl_use
of in IndisputableMonolith.Foundation.DAlembert.LedgerFactorization decl_use
of in IndisputableMonolith.Foundation.PhiForcingDerived decl_use
of in IndisputableMonolith.Foundation.SpectralEmergence decl_use
of in IndisputableMonolith.Information.PhysicsComplexityStructure decl_use
succ in IndisputableMonolith.RRF.Core.Vantage decl_use