Expression of type ExprTuple

from the theory of proveit.physics.quantum.algebra

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, X, c
from proveit.linear_algebra import ScalarMult
from proveit.logic import Equals, InClass
from proveit.physics.quantum import Qmult, QmultCodomain

# build up the expression from sub-expressions
expr = ExprTuple(Lambda(X, Conditional(Equals(Qmult(X, c), ScalarMult(c, X)), InClass(X, QmultCodomain))))

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(X \mapsto \left\{\left(X \thinspace c\right) = \left(c \cdot X\right) \textrm{ if } X \underset{{\scriptscriptstyle c}}{\in} \mathcal{Q^*}\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: 18 body: 3
2	ExprTuple	18
3	Conditional	value: 4 condition: 5
4	Operation	operator: 6 operands: 7
5	Operation	operator: 8 operands: 9
6	Literal
7	ExprTuple	10, 11
8	Literal
9	ExprTuple	18, 12
10	Operation	operator: 13 operands: 14
11	Operation	operator: 15 operands: 16
12	Literal
13	Literal
14	ExprTuple	18, 17
15	Literal
16	ExprTuple	17, 18
17	Variable
18	Variable