Preview Runtime Showcase

6. Preview Relationships🔗

Definition6.1
uses 0
Used by 5
Reverse dependency previews
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Theorem 3.1
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✓L∃∀N

Target statement with associated Lean code.

Lean code for Definition6.1●1 definition
  • defdefined in Init/Prelude.lean
    complete
    def Nat.add : Nat → Nat → Nat
    def Nat.add : Nat → Nat → Nat
    Addition of natural numbers, typically used via the `+` operator.
    
    This function is overridden in both the kernel and the compiler to efficiently evaluate using the
    arbitrary-precision arithmetic library. The definition provided here is the logical model.
    
Definition6.2
uses 0
Used by 2
Reverse dependency previews
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Theorem 6.5
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XL∃∀N

Auxiliary target statement for multi-use proof previews.

Lemma6.3
uses 1used by 0XL∃∀N

Statement depends on Definition 6.1.

Theorem6.4
uses 0used by 0XL∃∀N

Statement facet marker for preview relationships.

Proof for Theorem 6.4

Proof facet marker for preview relationships, depending on Definition 6.1.

Theorem6.5
uses 0used by 0XL∃∀N

Statement facet for a proof with multiple dependencies.

Proof for Theorem 6.5
Proof uses 2
Proof dependency previews
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Definition 6.1
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Proof panel marker for preview relationships, also depending on Definition 6.2.

Theorem6.6
groupuses 0used by 1✓L∃∀N

Grouped statement facet with group, used-by, and Lean metadata.

Lean code for Theorem6.6●1 definition
  • defdefined in Init/Prelude.lean
    complete
    def Nat.add : Nat → Nat → Nat
    def Nat.add : Nat → Nat → Nat
    Addition of natural numbers, typically used via the `+` operator.
    
    This function is overridden in both the kernel and the compiler to efficiently evaluate using the
    arbitrary-precision arithmetic library. The definition provided here is the logical model.
    
Proof for Theorem 6.6
Proof uses 2
Proof dependency previews
Preview
Definition 6.1
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Proof dependency preview content is loaded from the rendered-fragment cache.

Grouped proof panel marker for preview relationships, also depending on Definition 6.2.

Lemma6.7
groupuses 1used by 0XL∃∀N

Consumer statement that makes the grouped statement used-by and group chips non-empty.

Theorem6.8
uses 0used by 0XL∃∀N

Statement facet marker for preview relationships.

Proof for Theorem 6.8
uses 0

Proof facet marker for preview relationships.

Definition6.9
Group: Prepared resource group. (1)
Group member previews
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Theorem 6.10
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uses 1
Used by 2
Reverse dependency previews
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Theorem 6.10
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XL∃∀N

Available prepared resource body.

This cached body retains cached blank reference and cached available reference.

Theorem6.10
groupuses 1
Used by 2
Reverse dependency previews
Preview
Lemma 6.11
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XL∃∀N
Lemma6.11
Statement uses 1
Statement dependency previews
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Theorem 6.10
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Statement dependency preview content is loaded from the rendered-fragment cache.
used by 1XL∃∀N

This single dependency retains its link: blank target.

Lemma6.12
Statement uses 2
Statement dependency previews
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Definition 6.9
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used by 0XL∃∀N

A second dependency has a body: available target.

Explicit references retain their presentation: blank reference and available reference.