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languages. The constant and constants commands introduce new constant symbols into the working environment. The #check command asks Lean to report their types; in Lean, commands that query the system for explains the type annotation of the function list: #check list -- Type u_1 → Type u_1 Here u_1 is a variable ranging over type levels. The output of the #check command means that whenever α has type Type n process known as “abstraction,” or “lambda abstraction.” Suppose that by temporarily postulating a variable x : α we can construct an expression t : β. Then the expression fun x : α, t, or, equivalently,

patterns in the left-hand side of each clause should consist only of constructors and variables. • No variable should occur more than once on the left-hand side of a single clause. • The patterns of all clauses Agda will attempt to unify i1 ... i with j1 ... j. When the unifica- tion algorithm instantiates a variable x with value t, the corresponding argument of the function can be replaced by a dot pattern .t. type classes The type of an instance argument must have the form {Γ} → C vs, where C is a bound variable or the name of a data or record type, and {Γ} denotes an arbitrary number of (ordinary) implicit

patterns in the left-hand side of each clause should consist only of constructors and variables. No variable should occur more than once on the left-hand side of a single clause. The patterns of all clauses Agda will attempt to unify i₁ … iₙ with j₁ … jₙ. When the unification algorithm instantiates a variable x with value t, the corresponding argument of the function can be replaced by a dot pattern .t. type classes The type of an instance argument must have the form {Γ} → C vs, where C is a bound variable or the name of a data or record type, and {Γ} denotes an arbitrary number of (ordinary) implicit

that a definition is terminating/productive it will highlight it in light salmon, and if some meta-variable other than the goals cannot be solved the code will be highlighted in yellow (the highlighting may patterns in the left-hand side of each clause should consist only of constructors and variables. No variable should occur more than once on the left-hand side of a single clause. The patterns of all clauses Agda will attempt to unify i₁ … iₙ with j₁ … jₙ. When the unification algorithm instantiates a variable x with value t, the corresponding argument of the function can be replaced by a dot pattern .t.

that a definition is terminating/productive it will highlight it in light salmon, and if some meta-variable other than the goals cannot be solved the code will be highlighted in yellow (the highlighting may patterns in the left-hand side of each clause should consist only of constructors and variables. • No variable should occur more than once on the left-hand side of a single clause. • The patterns of all clauses Agda will attempt to unify i1 ... i with j1 ... j. When the unifica- tion algorithm instantiates a variable x with value t, the corresponding argument of the function can be replaced by a dot pattern .t.

that a definition is terminating/productive it will highlight it in light salmon, and if some meta-variable other than the goals cannot be solved the code will be highlighted in yellow (the highlighting may patterns in the left-hand side of each clause should consist only of constructors and variables. • No variable should occur more than once on the left-hand side of a single clause. • The patterns of all clauses Agda will attempt to unify i1 ... i with j1 ... j. When the unifica- tion algorithm instantiates a variable x with value t, the corresponding argument of the function can be replaced by a dot pattern .t.

that a definition is terminating/productive it will highlight it in light salmon, and if some meta-variable other than the goals cannot be solved the code will be highlighted in yellow (the highlighting may patterns in the left-hand side of each clause should consist only of constructors and variables. No variable should occur more than once on the left-hand side of a single clause. The patterns of all clauses Agda will attempt to unify i₁ … iₙ with j₁ … jₙ. When the unification algorithm instantiates a variable x with value t, the corresponding argument of the function can be replaced by a dot pattern .t.

that a definition is terminating/productive it will highlight it in light salmon, and if some meta-variable other than the goals cannot be solved the code will be highlighted in yellow (the highlighting may patterns in the left-hand side of each clause should consist only of constructors and variables. • No variable should occur more than once on the left-hand side of a single clause. • The patterns of all clauses Agda will attempt to unify i1 ... i with j1 ... j. When the unifica- tion algorithm instantiates a variable x with value t, the corresponding argument of the function can be replaced by a dot pattern .t.

that a definition is terminating/productive it will highlight it in light salmon, and if some meta-variable other than the goals cannot be solved the code will be highlighted in yellow (the highlighting may patterns in the left-hand side of each clause should consist only of constructors and variables. No variable should occur more than once on the left-hand side of a single clause. The patterns of all clauses Agda will attempt to unify i₁ … iₙ with j₁ … jₙ. When the unification algorithm instantiates a variable x with value t, the corresponding argument of the function can be replaced by a dot pattern .t.