trureturingGitHub MATHEMATICAL ATLAS

Factorization / CONCEPT

Positive Rationals from Signed Prime Exponents

Signed prime exponents give the additive presentation of positive rationals.

Closed Authored exposition
DIRECT PREREQUISITES1
DIRECT CONSEQUENCES4
PROOF DEPTH1
DOCUMENT LINKS1
THEOREM

The prime-exponent equivalence is bijective

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The Free Commutative Monoid on the Prime AxesThe Free Commutative Monoid onthe Prime AxesPositive Rationals from Signed Prime ExponentsPositive Rationals from SignedPrime ExponentsPrime Ledger Direction and GroupificationPrime Ledger Direction andGroupificationRational Finite-Valuation KernelRational Finite-ValuationKernelDensity of Signed Prime Logarithmic LengthDensity of Signed PrimeLogarithmic LengthFaithfulness of Signed Prime Logarithmic LengthFaithfulness of Signed PrimeLogarithmic Length
Proof dependencyStructural affinityDocument link

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Lean sourceResearch workspace
Status
Closed
Depth
1
Layer
D5/S3
Domain
Factorization
Node ID
D5/S3/Factorization/PositiveRationalGroup
Repository path
D5/S3/Factorization/PositiveRationalGroup.lean
Truth release
sha256:c0d04258d27972c1cf58485e21d64dbcbe336405346ba95133913c64ba2856aa
Source commit
745bf90812f7175f83e1235688249f9495f23bfc
Source tree
143bc6c9ab9054c406f0cdd7f3b296eb38768b5c

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