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Expression of type ExprTuple

from the theory of proveit.core_expr_types.conditionals

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, Q, a
from proveit.logic import Equals, TRUE
In [2]:
# build up the expression from sub-expressions
expr = ExprTuple(Lambda([a, Q], Equals(Conditional(a, Q), Conditional(a, Equals(Q, TRUE))).with_wrapping_at(1)))
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(a, Q\right) \mapsto \left(\begin{array}{c} \begin{array}{l} \left\{a \textrm{ if } Q\right.. \\  = \left\{a \textrm{ if } Q = \top\right.. \end{array} \end{array}\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
2ExprTuple7, 11
3Operationoperator: 9
operands: 4
4ExprTuple5, 6
5Conditionalvalue: 7
condition: 11
6Conditionalvalue: 7
condition: 8
7Variable
8Operationoperator: 9
operands: 10
9Literal
10ExprTuple11, 12
11Variable
12Literal