Expression of type ExprTuple

from the theory of proveit.physics.quantum.QPE

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, e
from proveit.numbers import Add, Exp, Mult, four, frac, one, two
from proveit.physics.quantum.QPE import Pfail

# build up the expression from sub-expressions
expr = ExprTuple(Pfail(e), Add(frac(one, Mult(two, e)), frac(one, Mult(four, Exp(e, two)))))

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[P_{\rm fail}\right]\left(e\right), \frac{1}{2 \cdot e} + \frac{1}{4 \cdot e^{2}}\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: 22
2	Operation	operator: 5 operands: 6
3	Literal
4	ExprTuple	22
5	Literal
6	ExprTuple	7, 8
7	Operation	operator: 10 operands: 9
8	Operation	operator: 10 operands: 11
9	ExprTuple	13, 12
10	Literal
11	ExprTuple	13, 14
12	Operation	operator: 16 operands: 15
13	Literal
14	Operation	operator: 16 operands: 17
15	ExprTuple	23, 22
16	Literal
17	ExprTuple	18, 19
18	Literal
19	Operation	operator: 20 operands: 21
20	Literal
21	ExprTuple	22, 23
22	Variable
23	Literal