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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.logic.sets.equivalence import left_membership_via_right
In [2]:
# check that the built expression is the same as the stored expression
assert left_membership_via_right.expr == stored_expr
assert left_membership_via_right.expr._style_id == stored_expr._style_id
print("Passed sanity check: left_membership_via_right matches stored_expr")
Passed sanity check: left_membership_via_right matches stored_expr
In [3]:
# Show the LaTeX representation of the expression for convenience if you need it.
print(stored_expr.latex())
\forall_{A, B~|~A \cong B}~\left[\forall_{x \in B}~\left(x \in A\right)\right]
In [4]:
stored_expr.style_options()
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()
 core typesub-expressionsexpression
0Operationoperator: 6
operand: 2
1ExprTuple2
2Lambdaparameters: 9
body: 3
3Conditionalvalue: 4
condition: 5
4Operationoperator: 6
operand: 10
5Operationoperator: 8
operands: 9
6Literal
7ExprTuple10
8Literal
9ExprTuple18, 20
10Lambdaparameter: 19
body: 12
11ExprTuple19
12Conditionalvalue: 13
condition: 14
13Operationoperator: 16
operands: 15
14Operationoperator: 16
operands: 17
15ExprTuple19, 18
16Literal
17ExprTuple19, 20
18Variable
19Variable
20Variable