Manuscript IX-D-ST@1 · IX-D-ST.tex · section · b1dc631a
Debugging audit
Debugging audit · lines 2607–2697
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Invalid upgrade & Correction
Invalid upgrade & Correction
The four sheets are independent constructions &
They use one host contract, one inherited free sector,
and four ordered stage releases.
Free coherence constructs time ordering &
The interfaces and the auxiliary classical-product
counterexample separate these assertions.
A constant projection defines a retarded map &
It loses nonconstant and lower-order coefficient
information and supplies no causal extension.
Double ordering requires overlap &
It requires causal disjointness, excluding null relation
and coincidence.
A later slab proves exactly one ordering &
It proves one ordering. Actual causal relation is needed
to rule out the reverse.
Full support or injectivity computes the commutator &
The commutator depends on , evaluated
independently.
Observation-spacelike means functionally two-way &
The sharp metric dependence includes its retained
past and potentially its initial surface.
An upper causal ball proves lower support &
No reverse inclusion follows. A solid-ball lower theorem
is false in the specified flat realization.
The reflected cone carries a second delta &
It is a jump of the locally integrable cosine difference.
The direct delta remains separate.
The apex can receive an arbitrary contact &
The common-Abel limit and global locally integrable
cosine representative already fix it.
The source can be chosen componentwise &
The sphere detector uses a single explicit scalar
configuration respecting that restriction.
An abstract carrier trace is (TC) &
(TC) identifies the same actual adjoint on its required
source domain and gives its null-sphere formula.
A flat trace calculation verifies every inherited operator &
A same-operator, same-domain, same-normalization
identification is required.
An earlier accepted trace formula can be assumed while
(TC) is still declared unverified &
If the formula has all of (TC)'s hypotheses for the
same adjoint, the bridge is already proved. The two
input regimes are explicitly separated.
An algebraic complement gives continuity &
The extension criterion is algebraic; no continuous
complement or sharp kernel is produced.
A contact changes two unequal forced free values into one &
Factorization requires equality to both; the fixed-domain
contradiction is independent of the proposed contact.
The parent class classifies binary contacts &
It is a supplied three-observation numerical conversion
class, not a binary causal ambiguity theorem.
A third-order numerator gives a third-order quotient &
Only the quotient through second order is determined.
Conditional subtraction is a slot-support theorem &
It proves a functional-pair vanishing implication only.
A certificate clock consumes geometric time &
Only the finite measured register names are consumed.