Expression of type ExprTuple

from the theory of proveit.logic.sets

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 A, B, ExprTuple, x
from proveit.logic import Boolean, Forall, InSet

# build up the expression from sub-expressions
expr = ExprTuple(Forall(instance_param_or_params = [x], instance_expr = InSet(InSet(x, B), Boolean)), InSet(x, A))

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_{x}~\left(\left(x \in B\right) \in \mathbb{B}\right), x \in A\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: 13 operands: 5
3	Literal
4	ExprTuple	6
5	ExprTuple	15, 7
6	Lambda	parameter: 15 body: 9
7	Variable
8	ExprTuple	15
9	Operation	operator: 13 operands: 10
10	ExprTuple	11, 12
11	Operation	operator: 13 operands: 14
12	Literal
13	Literal
14	ExprTuple	15, 16
15	Variable
16	Variable