logo

Expression of type ExprTuple

from the theory of proveit.logic.booleans.disjunction

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, B, C, D, ExprTuple
from proveit.logic import Boolean, Implies, InSet, Not, Or
In [2]:
# build up the expression from sub-expressions
expr = ExprTuple(InSet(A, Boolean), InSet(B, Boolean), InSet(C, Boolean), InSet(D, Boolean), Or(Not(C), Not(D)), Implies(A, C), Implies(B, D))
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 \in \mathbb{B}, B \in \mathbb{B}, C \in \mathbb{B}, D \in \mathbb{B}, (\lnot C) \lor (\lnot D), A \Rightarrow C, B \Rightarrow D\right)
In [5]:
stored_expr.style_options()
namedescriptiondefaultcurrent valuerelated methods
wrap_positionsposition(s) at which wrapping is to occur; 'n' is after the nth comma.()()('with_wrapping_at',)
justificationif any wrap positions are set, justify to the 'left', 'center', or 'right'leftleft('with_justification',)
In [6]:
# display the expression information
stored_expr.expr_info()
 core typesub-expressionsexpression
0ExprTuple1, 2, 3, 4, 5, 6, 7
1Operationoperator: 11
operands: 8
2Operationoperator: 11
operands: 9
3Operationoperator: 11
operands: 10
4Operationoperator: 11
operands: 12
5Operationoperator: 13
operands: 14
6Operationoperator: 16
operands: 15
7Operationoperator: 16
operands: 17
8ExprTuple21, 18
9ExprTuple22, 18
10ExprTuple26, 18
11Literal
12ExprTuple27, 18
13Literal
14ExprTuple19, 20
15ExprTuple21, 26
16Literal
17ExprTuple22, 27
18Literal
19Operationoperator: 24
operand: 26
20Operationoperator: 24
operand: 27
21Variable
22Variable
23ExprTuple26
24Literal
25ExprTuple27
26Variable
27Variable