Expression of type ExprTuple

from the theory of proveit.logic.equality

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 Conditional, ExprTuple, Function, Lambda, h, n, theta
from proveit.logic import Equals, Forall, InSet
from proveit.numbers import Natural

# build up the expression from sub-expressions
sub_expr1 = [n]
sub_expr2 = Function(h, sub_expr1)
sub_expr3 = Function(theta, sub_expr1)
sub_expr4 = InSet(n, Natural)
expr = ExprTuple(Forall(instance_param_or_params = sub_expr1, instance_expr = Equals(sub_expr2, sub_expr3), domain = Natural), Equals(Lambda(n, Conditional(sub_expr2, sub_expr4)), Lambda(n, Conditional(sub_expr3, sub_expr4))).with_wrapping_at(2))

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_{n \in \mathbb{N}}~\left(h\left(n\right) = \theta\left(n\right)\right), \begin{array}{c} \begin{array}{l} \left[n \mapsto \left\{h\left(n\right) \textrm{ if } n \in \mathbb{N}\right..\right] =  \\ \left[n \mapsto \left\{\theta\left(n\right) \textrm{ if } n \in \mathbb{N}\right..\right] \end{array} \end{array}\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: 6
2	Operation	operator: 14 operands: 5
3	Literal
4	ExprTuple	6
5	ExprTuple	7, 8
6	Lambda	parameter: 24 body: 9
7	Lambda	parameter: 24 body: 10
8	Lambda	parameter: 24 body: 11
9	Conditional	value: 12 condition: 13
10	Conditional	value: 18 condition: 13
11	Conditional	value: 19 condition: 13
12	Operation	operator: 14 operands: 15
13	Operation	operator: 16 operands: 17
14	Literal
15	ExprTuple	18, 19
16	Literal
17	ExprTuple	24, 20
18	Operation	operator: 21 operand: 24
19	Operation	operator: 22 operand: 24
20	Literal
21	Variable
22	Variable
23	ExprTuple	24
24	Variable