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, P, Pk, Variable, i, j, k
from proveit.logic import And, Forall
from proveit.numbers import Interval

# build up the expression from sub-expressions
sub_expr1 = Variable("_a", latex_format = r"{_{-}a}")
expr = ExprTuple(And(ExprRange(sub_expr1, Function(P, [sub_expr1]), i, j)), Forall(instance_param_or_params = [k], instance_expr = Pk, domain = Interval(i, j)))

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(P\left(i\right) \land  P\left(i + 1\right) \land  \ldots \land  P\left(j\right), \forall_{k \in \{i~\ldotp \ldotp~j\}}~P\left(k\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 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: 24 end_index: 25
8	Lambda	parameter: 20 body: 10
9	Lambda	parameter: 19 body: 11
10	Conditional	value: 12 condition: 13
11	Operation	operator: 15 operand: 19
12	Operation	operator: 15 operand: 20
13	Operation	operator: 17 operands: 18
14	ExprTuple	19
15	Variable
16	ExprTuple	20
17	Literal
18	ExprTuple	20, 21
19	Variable
20	Variable
21	Operation	operator: 22 operands: 23
22	Literal
23	ExprTuple	24, 25
24	Variable
25	Variable