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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.booleans.conjunction import and_if_all
In [2]:
# check that the built expression is the same as the stored expression
assert and_if_all.expr == stored_expr
assert and_if_all.expr._style_id == stored_expr._style_id
print("Passed sanity check: and_if_all matches stored_expr")
Passed sanity check: and_if_all matches stored_expr
In [3]:
# Show the LaTeX representation of the expression for convenience if you need it.
print(stored_expr.latex())
\forall_{m \in \mathbb{N}}~\left[\forall_{A_{1}, A_{2}, \ldots, A_{m}~|~A_{1}, A_{2}, \ldots, A_{m}}~\left(A_{1} \land  A_{2} \land  \ldots \land  A_{m}\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: 7
operand: 2
1ExprTuple2
2Lambdaparameter: 20
body: 4
3ExprTuple20
4Conditionalvalue: 5
condition: 6
5Operationoperator: 7
operand: 11
6Operationoperator: 9
operands: 10
7Literal
8ExprTuple11
9Literal
10ExprTuple20, 12
11Lambdaparameters: 16
body: 13
12Literal
13Conditionalvalue: 14
condition: 14
14Operationoperator: 15
operands: 16
15Literal
16ExprTuple17
17ExprRangelambda_map: 18
start_index: 19
end_index: 20
18Lambdaparameter: 24
body: 21
19Literal
20Variable
21IndexedVarvariable: 22
index: 24
22Variable
23ExprTuple24
24Variable