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Axiom _eigen_uu of type Equals

from the theory of proveit.physics.quantum.QPE

see dependencies

In [1]:
import proveit
# Automation is not needed when only building an expression:
proveit.defaults.automation = False # This will speed things up.
proveit.defaults.inline_pngs = False # Makes files smaller.
%load_axiom_expr # Load the stored axiom expression as 'stored_expr'
# import the special expression
from proveit.physics.quantum.QPE import _eigen_uu
In [2]:
# check that the built expression is the same as the stored expression
assert _eigen_uu.expr == stored_expr
assert _eigen_uu.expr._style_id == stored_expr._style_id
print("Passed sanity check: _eigen_uu matches stored_expr")
Passed sanity check: _eigen_uu matches stored_expr
In [3]:
# Show the LaTeX representation of the expression for convenience if you need it.
print(stored_expr.latex())
\left(U \thinspace \lvert u \rangle\right) = \left(\mathsf{e}^{2 \cdot \pi \cdot \mathsf{i} \cdot \varphi} \cdot \lvert u \rangle\right)
In [4]:
stored_expr.style_options()
namedescriptiondefaultcurrent valuerelated methods
operation'infix' or 'function' style formattinginfixinfix
wrap_positionsposition(s) at which wrapping is to occur; '2 n - 1' is after the nth operand, '2 n' is after the nth operation.()()('with_wrapping_at', 'with_wrap_before_operator', 'with_wrap_after_operator', 'without_wrapping', 'wrap_positions')
justificationif any wrap positions are set, justify to the 'left', 'center', or 'right'centercenter('with_justification',)
directionDirection of the relation (normal or reversed)normalnormal('with_direction_reversed', 'is_reversed')
In [5]:
# display the expression information
stored_expr.expr_info()
 core typesub-expressionsexpression
0Operationoperator: 1
operands: 2
1Literal
2ExprTuple3, 4
3Operationoperator: 5
operands: 6
4Operationoperator: 7
operands: 8
5Literal
6ExprTuple9, 11
7Literal
8ExprTuple10, 11
9Literal
10Operationoperator: 12
operands: 13
11Literal
12Literal
13ExprTuple14, 15
14Literal
15Operationoperator: 16
operands: 17
16Literal
17ExprTuple18, 19, 20, 21
18Literal
19Literal
20Literal
21Literal