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In [1]:
import proveit
# Automation is not needed when building an expression:
proveit.defaults.automation = False # This will speed things up.
proveit.defaults.inline_pngs = False # Makes files smaller.
%load_expr # Load the stored expression as 'stored_expr'
# import Expression classes needed to build the expression
from proveit import ExprTuple
from proveit.logic import Boolean
from proveit.logic.booleans.quantification import general_forall_Px
In [2]:
# build up the expression from sub-expressions
expr = ExprTuple(general_forall_Px, Boolean)
expr:
In [3]:
# check that the built expression is the same as the stored expression
assert expr == stored_expr
assert expr._style_id == stored_expr._style_id
print("Passed sanity check: expr matches stored_expr")
Passed sanity check: expr matches stored_expr
In [4]:
# Show the LaTeX representation of the expression for convenience if you need it.
print(stored_expr.latex())
\left(\forall_{x_{1}, x_{2}, \ldots, x_{n}}~P\left(x_{1}, x_{2}, \ldots, x_{n}\right), \mathbb{B}\right)
In [5]:
stored_expr.style_options()
namedescriptiondefaultcurrent valuerelated methods
wrap_positionsposition(s) at which wrapping is to occur; 'n' is after the nth comma.()()('with_wrapping_at',)
justificationif any wrap positions are set, justify to the 'left', 'center', or 'right'leftleft('with_justification',)
In [6]:
# display the expression information
stored_expr.expr_info()
 core typesub-expressionsexpression
0ExprTuple1, 2
1Operationoperator: 3
operand: 5
2Literal
3Literal
4ExprTuple5
5Lambdaparameters: 8
body: 6
6Operationoperator: 7
operands: 8
7Variable
8ExprTuple9
9ExprRangelambda_map: 10
start_index: 11
end_index: 12
10Lambdaparameter: 16
body: 13
11Literal
12Variable
13IndexedVarvariable: 14
index: 16
14Variable
15ExprTuple16
16Variable