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, Variable, t
from proveit.logic import Equals, InSet
from proveit.numbers import Add, Interval, Neg, one

# build up the expression from sub-expressions
sub_expr1 = Variable("_a", latex_format = r"{_{-}a}")
expr = ExprTuple(Lambda(sub_expr1, Conditional(Equals(Add(Add(sub_expr1, Add(Neg(t), one)), Neg(one), t), sub_expr1), InSet(sub_expr1, Interval(one, t)))))

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} \mapsto \left\{\left(\left({_{-}a} + \left(-t + 1\right)\right) - 1 + t\right) = {_{-}a} \textrm{ if } {_{-}a} \in \{1~\ldotp \ldotp~t\}\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	parameter: 19 body: 3
2	ExprTuple	19
3	Conditional	value: 4 condition: 5
4	Operation	operator: 6 operands: 7
5	Operation	operator: 8 operands: 9
6	Literal
7	ExprTuple	10, 19
8	Literal
9	ExprTuple	19, 11
10	Operation	operator: 21 operands: 12
11	Operation	operator: 13 operands: 14
12	ExprTuple	15, 16, 27
13	Literal
14	ExprTuple	24, 27
15	Operation	operator: 21 operands: 17
16	Operation	operator: 25 operand: 24
17	ExprTuple	19, 20
18	ExprTuple	24
19	Variable
20	Operation	operator: 21 operands: 22
21	Literal
22	ExprTuple	23, 24
23	Operation	operator: 25 operand: 27
24	Literal
25	Literal
26	ExprTuple	27
27	Variable