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Expression of type ExprTuple

from the theory of proveit.linear_algebra.matrices.exponentiation

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, ExprTuple, Lambda, 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 = ExprTuple(Lambda(A, 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 \mapsto \left\{A^{m} \in \textrm{U}\left(n\right) \textrm{ if } A \in \textrm{U}\left(n\right)\right..\right)
In [5]:
stored_expr.style_options()
no style options
In [6]:
# display the expression information
stored_expr.expr_info()
 core typesub-expressionsexpression
0ExprTuple1
1Lambdaparameter: 15
body: 3
2ExprTuple15
3Conditionalvalue: 4
condition: 5
4Operationoperator: 7
operands: 6
5Operationoperator: 7
operands: 8
6ExprTuple9, 10
7Literal
8ExprTuple15, 10
9Operationoperator: 11
operands: 12
10Operationoperator: 13
operand: 17
11Literal
12ExprTuple15, 16
13Literal
14ExprTuple17
15Variable
16Variable
17Variable