Expression of type ExprTuple

from the theory of proveit.logic.booleans.disjunction

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 Exists, Or
from proveit.numbers import Interval

# build up the expression from sub-expressions
sub_expr1 = Variable("_a", latex_format = r"{_{-}a}")
expr = ExprTuple(Exists(instance_param_or_params = [k], instance_expr = Pk, domain = Interval(i, j)), Or(ExprRange(sub_expr1, Function(P, [sub_expr1]), 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(\exists_{k \in \{i~\ldotp \ldotp~j\}}~P\left(k\right), P\left(i\right) \lor  P\left(i + 1\right) \lor  \ldots \lor  P\left(j\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: 19 body: 9
8	ExprRange	lambda_map: 10 start_index: 24 end_index: 25
9	Conditional	value: 11 condition: 12
10	Lambda	parameter: 21 body: 13
11	Operation	operator: 17 operand: 19
12	Operation	operator: 15 operands: 16
13	Operation	operator: 17 operand: 21
14	ExprTuple	19
15	Literal
16	ExprTuple	19, 20
17	Variable
18	ExprTuple	21
19	Variable
20	Operation	operator: 22 operands: 23
21	Variable
22	Literal
23	ExprTuple	24, 25
24	Variable
25	Variable