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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_theorem_expr # Load the stored theorem expression as 'stored_expr'
# import the special expression
from proveit.linear_algebra.inner_products import complex_vec_set_is_inner_prod_space
In [2]:
# check that the built expression is the same as the stored expression
assert complex_vec_set_is_inner_prod_space.expr == stored_expr
assert complex_vec_set_is_inner_prod_space.expr._style_id == stored_expr._style_id
print("Passed sanity check: complex_vec_set_is_inner_prod_space matches stored_expr")
Passed sanity check: complex_vec_set_is_inner_prod_space matches stored_expr
In [3]:
# Show the LaTeX representation of the expression for convenience if you need it.
print(stored_expr.latex())
\forall_{n \in \mathbb{N}^+}~\left(\mathbb{C}^{n} \underset{{\scriptscriptstyle c}}{\in} \textrm{InnerProdSpaces}\left(\mathbb{C}\right)\right)
In [4]:
stored_expr.style_options()
Out[4]:
namedescriptiondefaultcurrent valuerelated methods
with_wrappingIf 'True', wrap the Expression after the parametersNoneNone/False('with_wrapping',)
condition_wrappingWrap 'before' or 'after' the condition (or None).NoneNone/False('with_wrap_after_condition', 'with_wrap_before_condition')
wrap_paramsIf 'True', wraps every two parameters AND wraps the Expression after the parametersNoneNone/False('with_params',)
justificationjustify to the 'left', 'center', or 'right' in the array cellscentercenter('with_justification',)
In [5]:
# display the expression information
stored_expr.expr_info()
Out[5]:
 core typesub-expressionsexpression
0Operationoperator: 1
operand: 3
1Literal
2ExprTuple3
3Lambdaparameter: 19
body: 5
4ExprTuple19
5Conditionalvalue: 6
condition: 7
6Operationoperator: 8
operands: 9
7Operationoperator: 10
operands: 11
8Literal
9ExprTuple12, 13
10Literal
11ExprTuple19, 14
12Operationoperator: 15
operands: 16
13Operationoperator: 17
operand: 20
14Literal
15Literal
16ExprTuple20, 19
17Literal
18ExprTuple20
19Variable
20Literal