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or_introl : forall A B : Prop, A -> A \/ B
Argument A is implicit
Argument scopes are [type_scope type_scope _]
Expands to: Constructor Coq.Init.Logic.or_introl
Inductive or (A B : Prop) : Prop :=
or_introl : A -> A \/ B | or_intror : B -> A \/ B
For or_introl: Argument A is implicit
For or_intror: Argument B is implicit
For or: Argument scopes are [type_scope type_scope]
For or_introl: Argument scopes are [type_scope type_scope _]
For or_intror: Argument scopes are [type_scope type_scope _]
or_introl : forall A B : Prop, A -> A \/ B
Argument A is implicit
Inductive eq (A : Type) (x : A) : A -> Prop := eq_refl : x = x
For eq: Argument A is implicit and maximally inserted
For eq_refl, when applied to no arguments:
Arguments A, x are implicit and maximally inserted
For eq_refl, when applied to 1 argument:
Argument A is implicit
For eq: Argument scopes are [type_scope _ _]
For eq_refl: Argument scopes are [type_scope _]
eq_refl : forall (A : Type) (x : A), x = x
When applied to no arguments:
Arguments A, x are implicit and maximally inserted
When applied to 1 argument:
Argument A is implicit
Argument scopes are [type_scope _]
Expands to: Constructor Coq.Init.Logic.eq_refl
eq_refl : forall (A : Type) (x : A), x = x
When applied to no arguments:
Arguments A, x are implicit and maximally inserted
When applied to 1 argument:
Argument A is implicit
plus =
fix plus (n m : nat) : nat := match n with
| 0 => m
| S p => S (plus p m)
end
: nat -> nat -> nat
Argument scopes are [nat_scope nat_scope]
plus : nat -> nat -> nat
Argument scopes are [nat_scope nat_scope]
plus is transparent
Expands to: Constant Coq.Init.Peano.plus
plus : nat -> nat -> nat
plus_n_O : forall n : nat, n = n + 0
Argument scope is [nat_scope]
plus_n_O is opaque
Expands to: Constant Coq.Init.Peano.plus_n_O
Inductive le (n : nat) : nat -> Prop :=
le_n : n <= n | le_S : forall m : nat, n <= m -> n <= S m
For le_S: Argument m is implicit
For le_S: Argument n is implicit and maximally inserted
For le: Argument scopes are [nat_scope nat_scope]
For le_n: Argument scope is [nat_scope]
For le_S: Argument scopes are [nat_scope nat_scope _]
comparison : Set
Expands to: Inductive Coq.Init.Datatypes.comparison
Inductive comparison : Set :=
Eq : comparison | Lt : comparison | Gt : comparison
bar : foo
Expanded type for implicit arguments
bar : forall x : nat, x = 0
Argument x is implicit and maximally inserted
Expands to: Constant Top.bar
*** [ bar : foo ]
Expanded type for implicit arguments
bar : forall x : nat, x = 0
Argument x is implicit and maximally inserted
Module Coq.Init.Peano
Notation existS2 := existT2
Expands to: Notation Coq.Init.Specif.existS2
Inductive eq (A : Type) (x : A) : A -> Prop := eq_refl : x = x
For eq: Argument A is implicit and maximally inserted
For eq_refl, when applied to no arguments:
Arguments A, x are implicit and maximally inserted
For eq_refl, when applied to 1 argument:
Argument A is implicit and maximally inserted
For eq: Argument scopes are [type_scope _ _]
For eq_refl: Argument scopes are [type_scope _]
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