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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 nand_if_not_one
In [2]:
# check that the built expression is the same as the stored expression
assert nand_if_not_one.expr == stored_expr
assert nand_if_not_one.expr._style_id == stored_expr._style_id
print("Passed sanity check: nand_if_not_one matches stored_expr")
Passed sanity check: nand_if_not_one 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}~|~\lnot B}~(\lnot \left(A_{1} \land  A_{2} \land  \ldots \land  A_{m} \land B\land C_{1} \land  C_{2} \land  \ldots \land  C_{n}\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
2Lambdaparameters: 3
body: 4
3ExprTuple30, 33
4Conditionalvalue: 5
condition: 6
5Operationoperator: 7
operand: 10
6Operationoperator: 24
operands: 9
7Literal
8ExprTuple10
9ExprTuple11, 12
10Lambdaparameters: 25
body: 13
11Operationoperator: 15
operands: 14
12Operationoperator: 15
operands: 16
13Conditionalvalue: 17
condition: 18
14ExprTuple30, 19
15Literal
16ExprTuple33, 19
17Operationoperator: 21
operand: 23
18Operationoperator: 21
operand: 27
19Literal
20ExprTuple23
21Literal
22ExprTuple27
23Operationoperator: 24
operands: 25
24Literal
25ExprTuple26, 27, 28
26ExprRangelambda_map: 29
start_index: 32
end_index: 30
27Variable
28ExprRangelambda_map: 31
start_index: 32
end_index: 33
29Lambdaparameter: 39
body: 34
30Variable
31Lambdaparameter: 39
body: 35
32Literal
33Variable
34IndexedVarvariable: 36
index: 39
35IndexedVarvariable: 37
index: 39
36Variable
37Variable
38ExprTuple39
39Variable