Expression of type ExprTuple

from the theory of proveit.logic.booleans.conjunction

import proveit
# Automation is not needed when building an expression:
proveit.defaults.automation = False # This will speed things up.
proveit.defaults.inline_pngs = False # Makes files smaller.
%load_expr # Load the stored expression as 'stored_expr'
# import Expression classes needed to build the expression
from proveit import ExprRange, ExprTuple, Function, Q, Variable
from proveit.logic import And, Forall
from proveit.numbers import Interval, four, two

# build up the expression from sub-expressions
sub_expr1 = Variable("_a", latex_format = r"{_{-}a}")
sub_expr2 = [sub_expr1]
sub_expr3 = Function(Q, sub_expr2)
expr = ExprTuple(Forall(instance_param_or_params = sub_expr2, instance_expr = sub_expr3, domain = Interval(two, four)), And(ExprRange(sub_expr1, sub_expr3, two, four)))

expr:

# check that the built expression is the same as the stored expression
assert expr == stored_expr
assert expr._style_id == stored_expr._style_id
print("Passed sanity check: expr matches stored_expr")

Passed sanity check: expr matches stored_expr

# Show the LaTeX representation of the expression for convenience if you need it.
print(stored_expr.latex())

\left(\forall_{{_{-}a} \in \{2~\ldotp \ldotp~4\}}~Q\left({_{-}a}\right), Q\left(2\right) \land  Q\left(3\right) \land  \ldots \land  Q\left(4\right)\right)

stored_expr.style_options()

name	description	default	current value	related methods
wrap_positions	position(s) at which wrapping is to occur; 'n' is after the nth comma.	()	()	('with_wrapping_at',)
justification	if any wrap positions are set, justify to the 'left', 'center', or 'right'	left	left	('with_justification',)

# display the expression information
stored_expr.expr_info()

	core type	sub-expressions	expression
0	ExprTuple	1, 2
1	Operation	operator: 3 operand: 7
2	Operation	operator: 5 operands: 6
3	Literal
4	ExprTuple	7
5	Literal
6	ExprTuple	8
7	Lambda	parameter: 18 body: 9
8	ExprRange	lambda_map: 10 start_index: 21 end_index: 22
9	Conditional	value: 12 condition: 11
10	Lambda	parameter: 18 body: 12
11	Operation	operator: 13 operands: 14
12	Operation	operator: 15 operand: 18
13	Literal
14	ExprTuple	18, 17
15	Variable
16	ExprTuple	18
17	Operation	operator: 19 operands: 20
18	Variable
19	Literal
20	ExprTuple	21, 22
21	Literal
22	Literal