Expression of type ExprTuple

from the theory of proveit.numbers

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, a, b, c, d, x, y
from proveit.logic import InSet, NotEquals
from proveit.numbers import Less, LessEq, Real, greater, greater_eq, zero

# build up the expression from sub-expressions
expr = ExprTuple(InSet(a, Real), InSet(b, Real), InSet(c, Real), InSet(d, Real), InSet(x, Real), InSet(y, Real), greater(a, zero), greater_eq(b, zero), Less(c, zero), LessEq(d, zero), NotEquals(c, zero), NotEquals(x, y))

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(a \in \mathbb{R}, b \in \mathbb{R}, c \in \mathbb{R}, d \in \mathbb{R}, x \in \mathbb{R}, y \in \mathbb{R}, a > 0, b \geq 0, c < 0, d \leq 0, c \neq 0, x \neq y\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, 6, 7, 8, 9, 10, 11, 12
1	Operation	operator: 18 operands: 13
2	Operation	operator: 18 operands: 14
3	Operation	operator: 18 operands: 15
4	Operation	operator: 18 operands: 16
5	Operation	operator: 18 operands: 17
6	Operation	operator: 18 operands: 19
7	Operation	operator: 22 operands: 20
8	Operation	operator: 23 operands: 21
9	Operation	operator: 22 operands: 25
10	Operation	operator: 23 operands: 24
11	Operation	operator: 26 operands: 25
12	Operation	operator: 26 operands: 27
13	ExprTuple	29, 28
14	ExprTuple	30, 28
15	ExprTuple	32, 28
16	ExprTuple	31, 28
17	ExprTuple	34, 28
18	Literal
19	ExprTuple	35, 28
20	ExprTuple	33, 29
21	ExprTuple	33, 30
22	Literal
23	Literal
24	ExprTuple	31, 33
25	ExprTuple	32, 33
26	Literal
27	ExprTuple	34, 35
28	Literal
29	Variable
30	Variable
31	Variable
32	Variable
33	Literal
34	Variable
35	Variable