Examples and distinctions
Constructed examples of this model; each answer includes the Lean statement.
Exact root statement
∀ {Object : Type u} (data : Data Object) (sample : Finset Object) (tolerance scale : ℝ),
data.PhysicalFitOn (↑sample) tolerance →
0 < scale →
scale ≠ 1 →
(data.rescaleDistance scale).PhysicalFitOn (↑sample) tolerance ∧
(∀ (object : Object), (data.rescaleDistance scale).radialReadout object = data.radialReadout object) ∧
(∀ (weight : Object → ℝ),
(data.rescaleDistance scale).weightedResidualLoss sample weight =
data.weightedResidualLoss sample weight) ∧
(data.rescaleDistance scale).coefficient ≠ data.coefficient
Compare two arguments
Compare their definitions and hypotheses. Shared declarations may be instantiated differently; differences do not establish equivalence or implication.
No comparison argument selected.
Compare an earlier extraction
Compare the displayed specifications with an earlier JSON export. This compares text, not mathematical equivalence. Files stay in this browser.
No earlier extraction selected.
Notes and questions
Import merges local entries without overwriting them.
All declarations in the selected argument
Definitions, structures, and assumptions
Structures, classes, and inductive alternatives
- inductive
- structure
- structure
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- inductive
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Definitions and domain choices
- definition
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Checked statements: parameters, hypotheses, and interpretation
- checked statement
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Constructors, projections, and other meaning dependencies
- constructor
- constructor
- constructor
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- constructor
- constructor
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- constructor
- constructor
- constructor
- constructor
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- constructor
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External mathematical declarations
- external type boundary
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