Expression of type ExprTuple

from the theory of proveit.numbers.exponentiation

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, u, v, w, x, y, z
from proveit.logic import InSet
from proveit.numbers import Less, LessEq, Real, RealNeg, RealNonNeg, RealNonPos, RealPos, greater, zero

# build up the expression from sub-expressions
expr = ExprTuple(InSet(a, RealPos), InSet(b, RealNonNeg), InSet(c, RealNeg), InSet(d, RealNonPos), InSet(u, RealNeg), InSet(v, RealNeg), InSet(x, Real), InSet(y, Real), InSet(z, Real), InSet(w, RealPos), Less(u, v), LessEq(u, c), greater(x, zero), greater(y, x), LessEq(x, z))

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}^{\ge 0}, c \in \mathbb{R}^-, d \in \mathbb{R}^{\le 0}, u \in \mathbb{R}^-, v \in \mathbb{R}^-, x \in \mathbb{R}, y \in \mathbb{R}, z \in \mathbb{R}, w \in \mathbb{R}^+, u < v, u \leq c, x > 0, y > x, x \leq z\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, 13, 14, 15
1	Operation	operator: 25 operands: 16
2	Operation	operator: 25 operands: 17
3	Operation	operator: 25 operands: 18
4	Operation	operator: 25 operands: 19
5	Operation	operator: 25 operands: 20
6	Operation	operator: 25 operands: 21
7	Operation	operator: 25 operands: 22
8	Operation	operator: 25 operands: 23
9	Operation	operator: 25 operands: 24
10	Operation	operator: 25 operands: 26
11	Operation	operator: 30 operands: 27
12	Operation	operator: 32 operands: 28
13	Operation	operator: 30 operands: 29
14	Operation	operator: 30 operands: 31
15	Operation	operator: 32 operands: 33
16	ExprTuple	34, 42
17	ExprTuple	35, 36
18	ExprTuple	45, 39
19	ExprTuple	37, 38
20	ExprTuple	44, 39
21	ExprTuple	43, 39
22	ExprTuple	48, 40
23	ExprTuple	47, 40
24	ExprTuple	49, 40
25	Literal
26	ExprTuple	41, 42
27	ExprTuple	44, 43
28	ExprTuple	44, 45
29	ExprTuple	46, 48
30	Literal
31	ExprTuple	48, 47
32	Literal
33	ExprTuple	48, 49
34	Variable
35	Variable
36	Literal
37	Variable
38	Literal
39	Literal
40	Literal
41	Variable
42	Literal
43	Variable
44	Variable
45	Variable
46	Literal
47	Variable
48	Variable
49	Variable