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Expression of type ExprTuple

from the theory of proveit.logic.booleans.quantification.existence

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.booleans.quantification import general_forall__Py_not_T__st_Qy
In [2]:
# build up the expression from sub-expressions
expr = ExprTuple(general_forall__Py_not_T__st_Qy)
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_{y_{1}, y_{2}, \ldots, y_{n}~|~Q\left(y_{1}, y_{2}, \ldots, y_{n}\right)}~\left(P\left(y_{1}, y_{2}, \ldots, y_{n}\right) \neq \top\right)\right)
In [5]:
stored_expr.style_options()
no style options
In [6]:
# display the expression information
stored_expr.expr_info()
 core typesub-expressionsexpression
0ExprTuple1
1Operationoperator: 2
operand: 4
2Literal
3ExprTuple4
4Lambdaparameters: 14
body: 5
5Conditionalvalue: 6
condition: 7
6Operationoperator: 8
operands: 9
7Operationoperator: 10
operands: 14
8Literal
9ExprTuple11, 12
10Variable
11Operationoperator: 13
operands: 14
12Literal
13Variable
14ExprTuple15
15ExprRangelambda_map: 16
start_index: 17
end_index: 18
16Lambdaparameter: 22
body: 19
17Literal
18Variable
19IndexedVarvariable: 20
index: 22
20Variable
21ExprTuple22
22Variable