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Expression of type ExprTuple

from the theory of proveit.logic.sets

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, Qy, S, y
from proveit.logic import And, InSet
In [2]:
# build up the expression from sub-expressions
expr = ExprTuple(Lambda(y, Conditional(y, And(InSet(y, S), 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(y \mapsto \left\{y \textrm{ if } y \in S ,  Q\left(y\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
1Lambdaparameter: 13
body: 2
2Conditionalvalue: 13
condition: 3
3Operationoperator: 4
operands: 5
4Literal
5ExprTuple6, 7
6Operationoperator: 8
operands: 9
7Operationoperator: 10
operand: 13
8Literal
9ExprTuple13, 12
10Variable
11ExprTuple13
12Variable
13Variable