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6. Preview Relationships🔗

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

Target statement with associated Lean code.

Lean code for Definition6.11 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
Preview
Theorem 6.5
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Reverse dependency preview content is loaded from the rendered-fragment cache.
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
Preview
Definition 6.1
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Proof dependency preview content is loaded from the rendered-fragment cache.

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

Theorem6.6
groupuses 0used by 1L∃∀N

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

Lean code for Theorem6.61 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.