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 ExprTuple, Qx, i, j, k, x
from proveit.logic import Forall, InSet
from proveit.numbers import Add, Integer, Interval, LessEq, one

# build up the expression from sub-expressions
expr = ExprTuple(InSet(i, Integer), InSet(j, Integer), InSet(k, Integer), LessEq(j, Add(k, one)), Forall(instance_param_or_params = [x], instance_expr = Qx, domain = Interval(j, k)))

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(i \in \mathbb{Z}, j \in \mathbb{Z}, k \in \mathbb{Z}, j \leq \left(k + 1\right), \forall_{x \in \{j~\ldotp \ldotp~k\}}~Q\left(x\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, 3, 4, 5
1	Operation	operator: 25 operands: 6
2	Operation	operator: 25 operands: 7
3	Operation	operator: 25 operands: 8
4	Operation	operator: 9 operands: 10
5	Operation	operator: 11 operand: 16
6	ExprTuple	13, 14
7	ExprTuple	31, 14
8	ExprTuple	32, 14
9	Literal
10	ExprTuple	31, 15
11	Literal
12	ExprTuple	16
13	Variable
14	Literal
15	Operation	operator: 17 operands: 18
16	Lambda	parameter: 27 body: 19
17	Literal
18	ExprTuple	32, 20
19	Conditional	value: 21 condition: 22
20	Literal
21	Operation	operator: 23 operand: 27
22	Operation	operator: 25 operands: 26
23	Variable
24	ExprTuple	27
25	Literal
26	ExprTuple	27, 28
27	Variable
28	Operation	operator: 29 operands: 30
29	Literal
30	ExprTuple	31, 32
31	Variable
32	Variable