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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, Conditional, m, n
from proveit.linear_algebra import MatrixExp, Unitary
from proveit.logic import InSet
In [2]:
# build up the expression from sub-expressions
sub_expr1 = Unitary(n)
expr = Conditional(InSet(MatrixExp(A, m), sub_expr1), InSet(A, sub_expr1))
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^{m} \in \textrm{U}\left(n\right) \textrm{ if } A \in \textrm{U}\left(n\right)\right..
In [5]:
stored_expr.style_options()
namedescriptiondefaultcurrent valuerelated methods
condition_delimiter'comma' or 'and'commacomma('with_comma_delimiter', 'with_conjunction_delimiter')
In [6]:
# display the expression information
stored_expr.expr_info()
 core typesub-expressionsexpression
0Conditionalvalue: 1
condition: 2
1Operationoperator: 4
operands: 3
2Operationoperator: 4
operands: 5
3ExprTuple6, 7
4Literal
5ExprTuple12, 7
6Operationoperator: 8
operands: 9
7Operationoperator: 10
operand: 14
8Literal
9ExprTuple12, 13
10Literal
11ExprTuple14
12Variable
13Variable
14Variable