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 A, B, ExprTuple, Px, Py, x, y
from proveit.logic import Forall

# build up the expression from sub-expressions
expr = ExprTuple(Forall(instance_param_or_params = [x], instance_expr = Px, domain = A), Forall(instance_param_or_params = [y], instance_expr = Py, domain = B))

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