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Expression of type ExprTuple

from the theory of proveit.logic.booleans.quantification

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 Conditional, ExprTuple, Lambda
from proveit.core_expr_types import P__y_1_to_n, Q__y_1_to_n, y_1_to_n
from proveit.logic import Not
In [2]:
# build up the expression from sub-expressions
expr = ExprTuple(Lambda([y_1_to_n], Conditional(Not(P__y_1_to_n), Q__y_1_to_n)))
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(\left(y_{1}, y_{2}, \ldots, y_{n}\right) \mapsto \left\{\lnot P\left(y_{1}, y_{2}, \ldots, y_{n}\right) \textrm{ if } Q\left(y_{1}, y_{2}, \ldots, y_{n}\right)\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
1Lambdaparameters: 10
body: 2
2Conditionalvalue: 3
condition: 4
3Operationoperator: 5
operand: 8
4Operationoperator: 7
operands: 10
5Literal
6ExprTuple8
7Variable
8Operationoperator: 9
operands: 10
9Variable
10ExprTuple11
11ExprRangelambda_map: 12
start_index: 13
end_index: 14
12Lambdaparameter: 18
body: 15
13Literal
14Variable
15IndexedVarvariable: 16
index: 18
16Variable
17ExprTuple18
18Variable