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formal statement (Lean)
226def fromNat : Nat → LogicNat
227 | 0 => .identity
228 | Nat.succ n => .step (fromNat n)
229
used by (19)
From the project-wide theorem graph. These declarations reference this one in their body.
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add_left_cancel
in IndisputableMonolith.Foundation.ArithmeticFromLogic
decl_use
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embed_injective
in IndisputableMonolith.Foundation.ArithmeticFromLogic
decl_use
-
eq_iff_toNat_eq
in IndisputableMonolith.Foundation.ArithmeticFromLogic
decl_use
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equivNat
in IndisputableMonolith.Foundation.ArithmeticFromLogic
decl_use
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fromNat_succ
in IndisputableMonolith.Foundation.ArithmeticFromLogic
decl_use
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fromNat_toNat
in IndisputableMonolith.Foundation.ArithmeticFromLogic
decl_use
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fromNat_zero
in IndisputableMonolith.Foundation.ArithmeticFromLogic
decl_use
-
le_antisymm
in IndisputableMonolith.Foundation.ArithmeticFromLogic
decl_use
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toNat_fromNat
in IndisputableMonolith.Foundation.ArithmeticFromLogic
decl_use
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toNat_le
in IndisputableMonolith.Foundation.ArithmeticFromLogic
decl_use
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fromInt
in IndisputableMonolith.Foundation.IntegersFromLogic
decl_use
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fromInt_toInt
in IndisputableMonolith.Foundation.IntegersFromLogic
decl_use
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toInt_fromInt
in IndisputableMonolith.Foundation.IntegersFromLogic
decl_use
-
modular_interpret_periodic
in IndisputableMonolith.Foundation.ModularLogicRealization
decl_use
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fromNat
in IndisputableMonolith.LedgerUnits
decl_use
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kOf_fromNat
in IndisputableMonolith.LedgerUnits
decl_use
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kOf_step_succ
in IndisputableMonolith.LedgerUnits
decl_use
-
one_not_primeLedgerAtomLogic
in IndisputableMonolith.NumberTheory.LogicPrimeLedgerAtom
decl_use
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PrimeLedgerLogicCert
in IndisputableMonolith.NumberTheory.LogicPrimeLedgerAtom
decl_use
depends on (7)
Lean names referenced from this declaration's body.
-
step
in IndisputableMonolith.Complexity.CellularAutomata
decl_use
-
LogicNat
in IndisputableMonolith.Foundation.ArithmeticFromLogic
decl_use
-
succ
in IndisputableMonolith.Foundation.ArithmeticFromLogic
decl_use
-
identity
in IndisputableMonolith.Foundation.ObserverForcing
decl_use
-
fromNat
in IndisputableMonolith.LedgerUnits
decl_use
-
succ
in IndisputableMonolith.RRF.Core.Vantage
decl_use
-
identity
in IndisputableMonolith.RRF.Foundation.VantageCategory
decl_use