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Each of the ultimate facts found in Carroll to constitute probable cause, when taken together, [p171] is present in this case and is fully substantiated by the proof.
The tradition was written down more than 15 centuries ago; it is therefore older than the history of most European monarchies, but it cannot, of course, be substantiated by documentary proof.
The framework is illustrated on the design of a fragment of a wireless sensor network, and is substantiated by formal proofs of correctness of the analysis, which relate the original reduction semantics of the calculus to a new semantics with explicit substitutions.
Suszko's Thesis is substantiated by a rigorous proof (the Suszko Reduction) showing that every structural Tarskian consequence relation and therefore also every structural Tarskian many-valued propositional logic is characterized by a bivalent semantics.
Sin of no proof: committed by an environmental claim that cannot be substantiated by easily accessible supporting information or by a reliable third-party certification (e.g., paper products that claim various percentages of postconsumer recycled content without providing any evidence).
This alleged allegation is in no way substantiated by fact.
"But in reality, it is not substantiated by truth.
The story was substantiated by just two testimonials.
Cytofluorimetric data were substantiated by semiquantitative RT-PCR analysis.
This interpretation of gravity data is substantiated by seismological studies.
None of these views has been substantiated by epidemiological data.
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Since I tried Ludwig back in 2017, I have been constantly using it in both editing and translation. Ever since, I suggest it to my translators at ProSciEditing.

Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com