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Expression of type ExprTuple

from the theory of proveit.logic.sets.enumeration

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, Lambda, x, y
from proveit.logic import Boolean, InSet, Set
In [2]:
# build up the expression from sub-expressions
expr = ExprTuple(Lambda([x, y], InSet(InSet(x, Set(y)), 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(\left(x, y\right) \mapsto \left(\left(x \in \left\{y\right\}\right) \in \mathbb{B}\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: 2
body: 3
2ExprTuple9, 13
3Operationoperator: 7
operands: 4
4ExprTuple5, 6
5Operationoperator: 7
operands: 8
6Literal
7Literal
8ExprTuple9, 10
9Variable
10Operationoperator: 11
operand: 13
11Literal
12ExprTuple13
13Variable