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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.numbers.functions import one_over_x_sqrd_in_mon_dec_fxns
In [2]:
# check that the built expression is the same as the stored expression
assert one_over_x_sqrd_in_mon_dec_fxns.expr == stored_expr
assert one_over_x_sqrd_in_mon_dec_fxns.expr._style_id == stored_expr._style_id
print("Passed sanity check: one_over_x_sqrd_in_mon_dec_fxns matches stored_expr")
Passed sanity check: one_over_x_sqrd_in_mon_dec_fxns matches stored_expr
In [3]:
# Show the LaTeX representation of the expression for convenience if you need it.
print(stored_expr.latex())
\left[x \mapsto \frac{1}{x^{2}}\right] \in \textrm{MonDecFuncs}\left(\mathbb{R}^+\right)
In [4]:
stored_expr.style_options()
Out[4]:
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()
Out[5]:
 core typesub-expressionsexpression
0Operationoperator: 1
operands: 2
1Literal
2ExprTuple3, 4
3Lambdaparameter: 16
body: 6
4Operationoperator: 7
operand: 11
5ExprTuple16
6Operationoperator: 9
operands: 10
7Literal
8ExprTuple11
9Literal
10ExprTuple12, 13
11Literal
12Literal
13Operationoperator: 14
operands: 15
14Literal
15ExprTuple16, 17
16Variable
17Literal