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Expression of type ExprTuple

from the theory of proveit.logic.sets.inclusion

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, F
from proveit.logic import SubsetEq, superset_eq
In [2]:
# build up the expression from sub-expressions
sub_expr1 = SubsetEq(B, A)
sub_expr2 = SubsetEq(B, D)
expr = ExprTuple(SubsetEq(B, C), sub_expr1, sub_expr2, SubsetEq(B, F), SubsetEq(B, B), sub_expr1, superset_eq(A, B), sub_expr2, sub_expr1, sub_expr1)
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(B \subseteq C, B \subseteq A, B \subseteq D, B \subseteq F, B \subseteq B, B \subseteq A, A \supseteq B, B \subseteq D, B \subseteq A, B \subseteq A\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, 5, 4, 2, 3, 5, 5, 4, 5, 5
1Operationoperator: 10
operands: 6
2Operationoperator: 10
operands: 7
3Operationoperator: 10
operands: 8
4Operationoperator: 10
operands: 9
5Operationoperator: 10
operands: 11
6ExprTuple15, 12
7ExprTuple15, 13
8ExprTuple15, 15
9ExprTuple15, 14
10Literal
11ExprTuple15, 16
12Variable
13Variable
14Variable
15Variable
16Variable