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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 any_from_and
In [2]:
# check that the built expression is the same as the stored expression
assert any_from_and.expr == stored_expr
assert any_from_and.expr._style_id == stored_expr._style_id
print("Passed sanity check: any_from_and matches stored_expr")
Passed sanity check: any_from_and matches stored_expr
In [3]:
# Show the LaTeX representation of the expression for convenience if you need it.
print(stored_expr.latex())
\forall_{m, n \in \mathbb{N}}~\left[\forall_{A_{1}, A_{2}, \ldots, A_{m}, B, C_{1}, C_{2}, \ldots, C_{n}~|~A_{1}, A_{2}, \ldots, A_{m}, B,C_{1}, C_{2}, \ldots, C_{n}}~B\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
2Lambdaparameters: 3
body: 4
3ExprTuple25, 28
4Conditionalvalue: 5
condition: 6
5Operationoperator: 7
operand: 10
6Operationoperator: 19
operands: 9
7Literal
8ExprTuple10
9ExprTuple11, 12
10Lambdaparameters: 20
body: 13
11Operationoperator: 15
operands: 14
12Operationoperator: 15
operands: 16
13Conditionalvalue: 22
condition: 17
14ExprTuple25, 18
15Literal
16ExprTuple28, 18
17Operationoperator: 19
operands: 20
18Literal
19Literal
20ExprTuple21, 22, 23
21ExprRangelambda_map: 24
start_index: 27
end_index: 25
22Variable
23ExprRangelambda_map: 26
start_index: 27
end_index: 28
24Lambdaparameter: 34
body: 29
25Variable
26Lambdaparameter: 34
body: 30
27Literal
28Variable
29IndexedVarvariable: 31
index: 34
30IndexedVarvariable: 32
index: 34
31Variable
32Variable
33ExprTuple34
34Variable