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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 inner_prod_space_is_vec_space
In [2]:
# check that the built expression is the same as the stored expression
assert inner_prod_space_is_vec_space.expr == stored_expr
assert inner_prod_space_is_vec_space.expr._style_id == stored_expr._style_id
print("Passed sanity check: inner_prod_space_is_vec_space matches stored_expr")
Passed sanity check: inner_prod_space_is_vec_space matches stored_expr
In [3]:
# Show the LaTeX representation of the expression for convenience if you need it.
print(stored_expr.latex())
\forall_{K}~\left[\forall_{H \underset{{\scriptscriptstyle c}}{\in} \textrm{InnerProdSpaces}\left(K\right)}~\left(H \underset{{\scriptscriptstyle c}}{\in} \textrm{VecSpaces}\left(K\right)\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: 4
operand: 2
1ExprTuple2
2Lambdaparameter: 20
body: 3
3Operationoperator: 4
operand: 6
4Literal
5ExprTuple6
6Lambdaparameter: 15
body: 8
7ExprTuple15
8Conditionalvalue: 9
condition: 10
9Operationoperator: 12
operands: 11
10Operationoperator: 12
operands: 13
11ExprTuple15, 14
12Literal
13ExprTuple15, 16
14Operationoperator: 17
operand: 20
15Variable
16Operationoperator: 18
operand: 20
17Literal
18Literal
19ExprTuple20
20Variable