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 Conditional, ExprTuple, Lambda, m, n
from proveit.logic import And, InSet, NotEquals, TRUE
from proveit.physics.quantum.QPE import _m_domain

# build up the expression from sub-expressions
expr = ExprTuple(Lambda([m, n], Conditional(TRUE, And(InSet(m, _m_domain), InSet(n, _m_domain), NotEquals(m, n)))))

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(m, n\right) \mapsto \left\{\top \textrm{ if } m \in \{0~\ldotp \ldotp~2^{t} - 1\} ,  n \in \{0~\ldotp \ldotp~2^{t} - 1\} ,  m \neq n\right..\right)

stored_expr.style_options()

no style options

# display the expression information
stored_expr.expr_info()

	core type	sub-expressions	expression
0	ExprTuple	1
1	Lambda	parameters: 14 body: 2
2	Conditional	value: 3 condition: 4
3	Literal
4	Operation	operator: 5 operands: 6
5	Literal
6	ExprTuple	7, 8, 9
7	Operation	operator: 11 operands: 10
8	Operation	operator: 11 operands: 12
9	Operation	operator: 13 operands: 14
10	ExprTuple	16, 15
11	Literal
12	ExprTuple	17, 15
13	Literal
14	ExprTuple	16, 17
15	Operation	operator: 18 operands: 19
16	Variable
17	Variable
18	Literal
19	ExprTuple	20, 21
20	Literal
21	Operation	operator: 22 operands: 23
22	Literal
23	ExprTuple	24, 25
24	Operation	operator: 26 operands: 27
25	Operation	operator: 28 operand: 32
26	Literal
27	ExprTuple	30, 31
28	Literal
29	ExprTuple	32
30	Literal
31	Literal
32	Literal