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Expression of type ExprTuple

from the theory of proveit.physics.quantum.algebra

In [1]:
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 A, B, ExprTuple, n
from proveit.linear_algebra import Adj, MatrixSpace
from proveit.logic import Equals, InSet
from proveit.numbers import Complex
In [2]:
# build up the expression from sub-expressions
sub_expr1 = MatrixSpace(field = Complex, rows = n, columns = n)
expr = ExprTuple(InSet(A, sub_expr1), InSet(B, sub_expr1), Equals(Adj(A), A), Equals(Adj(B), B))
expr:
In [3]:
# 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
In [4]:
# Show the LaTeX representation of the expression for convenience if you need it.
print(stored_expr.latex())
\left(A \in \mathbb{C}^{n \times n}, B \in \mathbb{C}^{n \times n}, A^{\dagger} = A, B^{\dagger} = B\right)
In [5]:
stored_expr.style_options()
namedescriptiondefaultcurrent valuerelated methods
wrap_positionsposition(s) at which wrapping is to occur; 'n' is after the nth comma.()()('with_wrapping_at',)
justificationif any wrap positions are set, justify to the 'left', 'center', or 'right'leftleft('with_justification',)
In [6]:
# display the expression information
stored_expr.expr_info()
 core typesub-expressionsexpression
0ExprTuple1, 2, 3, 4
1Operationoperator: 6
operands: 5
2Operationoperator: 6
operands: 7
3Operationoperator: 9
operands: 8
4Operationoperator: 9
operands: 10
5ExprTuple21, 11
6Literal
7ExprTuple22, 11
8ExprTuple12, 21
9Literal
10ExprTuple13, 22
11Operationoperator: 14
operands: 15
12Operationoperator: 17
operand: 21
13Operationoperator: 17
operand: 22
14Literal
15NamedExprsfield: 19
rows: 20
columns: 20
16ExprTuple21
17Literal
18ExprTuple22
19Literal
20Variable
21Variable
22Variable