recognition /
NumberTheory /
NumberTheory.ErdosStrausBoxPhase /
explainer
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formal statement (Lean)
39 theorem box_divisor_mul_complement {N : ℕ} (box : DivisorExponentBox N) :
40 boxDivisor box * boxComplement box = N ^ 2 :=
proof body
Term-mode proof.
41 box.square_budget
42
43 /-- A square-budget box hits the balanced residual phase for gate `c`.
44
45 The conditions `c | N+d` and `c | N+e` say exactly that both reciprocal
46 defects land in phase `-N` modulo `c`. -/
used by (1)
From the project-wide theorem graph. These declarations reference this one in their body.
depends on (14)
Lean names referenced from this declaration's body.
reciprocal
in IndisputableMonolith.Algebra.CostAlgebra
decl_use
phase
in IndisputableMonolith.Foundation.EightTick
decl_use
A
in IndisputableMonolith.Foundation.IntegrationGap
decl_use
balanced
in IndisputableMonolith.Foundation.LedgerForcing
decl_use
reciprocal
in IndisputableMonolith.Foundation.LedgerForcing
decl_use
for
in IndisputableMonolith.Foundation.UniversalForcingSelfReference
decl_use
A
in IndisputableMonolith.Masses.Anchor
decl_use
A
in IndisputableMonolith.Modal.Actualization
decl_use
and
in IndisputableMonolith.NumberTheory.CirclePhaseLift
decl_use
boxComplement
in IndisputableMonolith.NumberTheory.ErdosStrausBoxPhase
decl_use
boxDivisor
in IndisputableMonolith.NumberTheory.ErdosStrausBoxPhase
decl_use
DivisorExponentBox
in IndisputableMonolith.NumberTheory.ErdosStrausBoxPhase
decl_use
that
in IndisputableMonolith.NumberTheory.PhiLadderLattice
decl_use
phase
in IndisputableMonolith.NumberTheory.RiemannHypothesis.Wedge
decl_use