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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 import forall_over_bool_by_cases
In [2]:
# check that the built expression is the same as the stored expression
assert forall_over_bool_by_cases.expr == stored_expr
assert forall_over_bool_by_cases.expr._style_id == stored_expr._style_id
print("Passed sanity check: forall_over_bool_by_cases matches stored_expr")
Passed sanity check: forall_over_bool_by_cases matches stored_expr
In [3]:
# Show the LaTeX representation of the expression for convenience if you need it.
print(stored_expr.latex())
\forall_{P~|~P\left(\top\right), P\left(\bot\right)}~\left[\forall_{A \in \mathbb{B}}~P\left(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: 7
operand: 2
1ExprTuple2
2Lambdaparameter: 21
body: 4
3ExprTuple21
4Conditionalvalue: 5
condition: 6
5Operationoperator: 7
operand: 11
6Operationoperator: 9
operands: 10
7Literal
8ExprTuple11
9Literal
10ExprTuple12, 13
11Lambdaparameter: 25
body: 14
12Operationoperator: 21
operand: 19
13Operationoperator: 21
operand: 20
14Conditionalvalue: 17
condition: 18
15ExprTuple19
16ExprTuple20
17Operationoperator: 21
operand: 25
18Operationoperator: 23
operands: 24
19Literal
20Literal
21Variable
22ExprTuple25
23Literal
24ExprTuple25, 26
25Variable
26Literal