Expression of type ExprTuple

from the theory of proveit.logic.sets.inclusion

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, x
from proveit.logic import Forall, InSet, Set, SubsetEq
from proveit.numbers import five, four, one, three, two

# build up the expression from sub-expressions
sub_expr1 = Set(one, three, five)
sub_expr2 = Set(one, two, three, four, five)
expr = ExprTuple(SubsetEq(sub_expr1, sub_expr2), Forall(instance_param_or_params = [x], instance_expr = InSet(x, sub_expr2), domain = sub_expr1))

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(\left\{1, 3, 5\right\} \subseteq \left\{1, 2, 3, 4, 5\right\}, \forall_{x \in \left\{1, 3, 5\right\}}~\left(x \in \left\{1, 2, 3, 4, 5\right\}\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: 7
3	Literal
4	ExprTuple	17, 15
5	Literal
6	ExprTuple	7
7	Lambda	parameter: 16 body: 9
8	ExprTuple	16
9	Conditional	value: 10 condition: 11
10	Operation	operator: 13 operands: 12
11	Operation	operator: 13 operands: 14
12	ExprTuple	16, 15
13	Literal
14	ExprTuple	16, 17
15	Operation	operator: 19 operands: 18
16	Variable
17	Operation	operator: 19 operands: 20
18	ExprTuple	23, 21, 24, 22, 25
19	Literal
20	ExprTuple	23, 24, 25
21	Literal
22	Literal
23	Literal
24	Literal
25	Literal