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Expression of type ExprTuple

from the theory of proveit.logic.booleans

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 A, C, Conditional, ExprTuple, Lambda
from proveit.logic import And, Boolean, Implies, InSet, Not
In [2]:
# build up the expression from sub-expressions
expr = ExprTuple(Lambda(A, Conditional(C, And(InSet(A, Boolean), Implies(A, C), Implies(Not(A), C)))))
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(A \mapsto \left\{C \textrm{ if } A \in \mathbb{B} ,  A \Rightarrow C ,  (\lnot A) \Rightarrow C\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: 19
body: 2
2Conditionalvalue: 16
condition: 3
3Operationoperator: 4
operands: 5
4Literal
5ExprTuple6, 7, 8
6Operationoperator: 9
operands: 10
7Operationoperator: 12
operands: 11
8Operationoperator: 12
operands: 13
9Literal
10ExprTuple19, 14
11ExprTuple19, 16
12Literal
13ExprTuple15, 16
14Literal
15Operationoperator: 17
operand: 19
16Variable
17Literal
18ExprTuple19
19Variable