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)
743theorem primeFactors_prime {p : ℕ} (hp : Prime p) : p.primeFactors = {p} := by
proof body
Term-mode proof.
744 have hp' : Nat.Prime p := (prime_iff p).1 hp
745 exact Nat.Prime.primeFactors hp'
746
747/-- The prime factors of p^k (k ≥ 1) is just {p}. -/
depends on (11)
Lean names referenced from this declaration's body.
-
of
in IndisputableMonolith.Astrophysics.NucleosynthesisTiers
decl_use
-
of
in IndisputableMonolith.Foundation.DAlembert.LedgerFactorization
decl_use
-
is
in IndisputableMonolith.Foundation.OptionAEmpiricalProgram
decl_use
-
of
in IndisputableMonolith.Foundation.PhiForcingDerived
decl_use
-
is
in IndisputableMonolith.Foundation.SimplicialLedger.EdgeLengthFromPsi
decl_use
-
of
in IndisputableMonolith.Foundation.SpectralEmergence
decl_use
-
is
in IndisputableMonolith.GameTheory.MechanismDesignFromSigma
decl_use
-
of
in IndisputableMonolith.Information.PhysicsComplexityStructure
decl_use
-
is
in IndisputableMonolith.Mathematics.RamanujanBridge.MockThetaPhantom
decl_use
-
Prime
in IndisputableMonolith.NumberTheory.Primes.Basic
decl_use
-
prime_iff
in IndisputableMonolith.NumberTheory.Primes.Basic
decl_use