- What does the at sign @ mean in Coq🔍
- Syntax extensions and notation scopes🔍
- Syntax extensions and interpretation scopes🔍
- Tricks you wish the Coq manual told you [maintainer=@tchajed]🔍
- Functional Programming in Coq🔍
- An Introduction to Basic Coq Datatypes🔍
- What does it mean when Coq says🔍
- How to Use a Definition in a Proof?🔍
What does the at sign @ mean in Coq
What does the at sign @ mean in Coq - Stack Overflow
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Syntax extensions and notation scopes - The Coq Proof Assistant
"A /\ B" is a notation, which tells how to represent the abbreviated term (and A B) . Notations must be in double quotes, except when the abbreviation has the ...
Syntax extensions and notation scopes - The Coq Proof Assistant
There is also a variant of Notation which does not modify the parser; this provides a form of abbreviation. It is sometimes expected that the same symbolic ...
Basics: Functional Programming in Coq - Software Foundations
Since the bool type is not built in, Coq actually supports conditional expressions over any inductively defined type with exactly two clauses in its definition.
Syntax extensions and interpretation scopes - Yale FLINT Group
Coq < Notation "A /\ B" := (and A B). The expression (and A B) is the abbreviated term and the string "A /\ B" (called a notation) tells how ...
Basics: Functional Programming in Coq
For each notation symbol in Coq, we can specify its precedence level and its associativity. The precedence level n is specified by writing at level n; this ...
Basics: Functional Programming in Coq
Each notation-symbol in Coq is also active in a notation scope. Coq tries to guess what scope you mean, so when you write S(O×O) it guesses nat_scope, but ...
coq - How to reason with notations directly?
1 · Are you talking about purely syntactic notations? · As for Coq, I think the question makes sense for Definition s, which are akin to just ...
Tricks you wish the Coq manual told you [maintainer=@tchajed]
(in Coq 8.12 and earlier) Generalizable Variable A enables implicit generalization; Definition id `(x:A) := x will implicitly add a parameter A before x .
Functional Programming in Coq - Cornell Computer Science
The definition starts with the keyword Inductive instead of the keyword type. day has a type itself, Type. Essentially this is saying that day is ...
An Introduction to Basic Coq Datatypes - UMD Computer Science
For each notation symbol in Coq, we can specify its precedence level and its associativity. The precedence level n is specified by writing at level n; this ...
coq au vin, n. meanings, etymology and more
What does the phrase coq au vin mean? There is ... See 'Meaning & use' for definition, usage, and quotation evidence. ... Sign in Register. Institutional access.
beginner - What does `induction ... in ...` do in Coq?
The |- is a special token used to indicate the premises (before this token) and goals (after this token) in Coq. · Also the question mark is used ...
What does it mean when Coq says: Unable to unify "In x l1 ... - Reddit
Fixpoint In {A : Type} (x : A) (l : list A) : Prop := match l with | [] => False | x' :: l' => x' = x \/ In x l' end. While the on in IndProp.v ...
How to Use a Definition in a Proof? - Coq's discourse
PS: Note that in Coq, m >= n is simply defined as n <= m . It is more 'natural' in Coq to use the latter. 1 Like. Blaisorblade ...
Our First Definition and Proof | Software Foundations in Coq | LF
Coq can be used to write programs and prove properties of them. We illustrate both tasks with a data type for days.
This definition is large in the sense that at least one of its constructors takes an argument whose type has type Type. Coq would be inconsistent if we allowed ...
(where G : P is a lemma or ... Replace constant f with its definition (only in the goal) ... Coq will instantiate n and m based on what it finds in the goal.
For instance, the * sign is used both to represent conventional multiplication on numbers and the cartesian product on types. One can find ...
Basics: Functional Programming in Coq - Cornell CS
To represent unary numbers with a Coq datatype, we use two constructors. The capital-letter O constructor represents zero. When the S constructor is applied to ...