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 ExprRange, ExprTuple, Variable, t
from proveit.logic import And, Equals
from proveit.numbers import Add, Neg, one, two, zero
from proveit.physics.quantum.QPE import _s

# build up the expression from sub-expressions
sub_expr1 = Variable("_a", latex_format = r"{_{-}a}")
sub_expr2 = Add(t, _s)
expr = ExprTuple(Equals(zero, zero), Equals(one, Add(zero, one)), And(ExprRange(sub_expr1, Equals(Add(sub_expr1, t), Add(Add(sub_expr1, Neg(one), t), one)), Add(Neg(t), two), zero)), Equals(sub_expr2, sub_expr2))

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(0 = 0, 1 = \left(0 + 1\right), \left(\left(\left(-t + 2\right) + t\right) = \left(\left(\left(-t + 2\right) - 1 + t\right) + 1\right)\right) \land  \left(\left(\left(-t + 3\right) + t\right) = \left(\left(\left(-t + 3\right) - 1 + t\right) + 1\right)\right) \land  \ldots \land  \left(\left(0 + t\right) = \left(\left(0 - 1 + t\right) + 1\right)\right), \left(t + s\right) = \left(t + s\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, 3, 4
1	Operation	operator: 22 operands: 5
2	Operation	operator: 22 operands: 6
3	Operation	operator: 7 operands: 8
4	Operation	operator: 22 operands: 9
5	ExprTuple	17, 17
6	ExprTuple	39, 10
7	Literal
8	ExprTuple	11
9	ExprTuple	12, 12
10	Operation	operator: 32 operands: 13
11	ExprRange	lambda_map: 14 start_index: 15 end_index: 17
12	Operation	operator: 32 operands: 16
13	ExprTuple	17, 39
14	Lambda	parameter: 34 body: 19
15	Operation	operator: 32 operands: 20
16	ExprTuple	36, 21
17	Literal
18	ExprTuple	34
19	Operation	operator: 22 operands: 23
20	ExprTuple	24, 25
21	Literal
22	Literal
23	ExprTuple	26, 27
24	Operation	operator: 37 operand: 36
25	Literal
26	Operation	operator: 32 operands: 29
27	Operation	operator: 32 operands: 30
28	ExprTuple	36
29	ExprTuple	34, 36
30	ExprTuple	31, 39
31	Operation	operator: 32 operands: 33
32	Literal
33	ExprTuple	34, 35, 36
34	Variable
35	Operation	operator: 37 operand: 39
36	Variable
37	Literal
38	ExprTuple	39
39	Literal