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 C, ExprTuple, IndexedVar, Variable, n
from proveit.core_expr_types import C_1_to_n
from proveit.logic import And, Forall
from proveit.numbers import Interval, one

# build up the expression from sub-expressions
sub_expr1 = Variable("_a", latex_format = r"{_{-}a}")
expr = ExprTuple(And(C_1_to_n), Forall(instance_param_or_params = [sub_expr1], instance_expr = IndexedVar(C, sub_expr1), domain = Interval(one, n)))

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(C_{1} \land  C_{2} \land  \ldots \land  C_{n}, \forall_{{_{-}a} \in \{1~\ldotp \ldotp~n\}}~C_{{_{-}a}}\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 operands: 4
2	Operation	operator: 5 operand: 8
3	Literal
4	ExprTuple	7
5	Literal
6	ExprTuple	8
7	ExprRange	lambda_map: 9 start_index: 21 end_index: 22
8	Lambda	parameter: 17 body: 10
9	Lambda	parameter: 17 body: 11
10	Conditional	value: 11 condition: 12
11	IndexedVar	variable: 13 index: 17
12	Operation	operator: 15 operands: 16
13	Variable
14	ExprTuple	17
15	Literal
16	ExprTuple	17, 18
17	Variable
18	Operation	operator: 19 operands: 20
19	Literal
20	ExprTuple	21, 22
21	Literal
22	Variable