logo

Expression of type Conditional

from the theory of proveit.linear_algebra.tensors

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, beta, fi, gamma, i
from proveit.linear_algebra import ScalarMult
from proveit.logic import InSet
from proveit.numbers import Interval, four, two
In [2]:
# build up the expression from sub-expressions
expr = Conditional(ScalarMult(ScalarMult(gamma, beta), fi), InSet(i, Interval(two, four)))
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(\gamma \cdot \beta\right) \cdot f\left(i\right) \textrm{ if } i \in \{2~\ldotp \ldotp~4\}\right..
In [5]:
stored_expr.style_options()
namedescriptiondefaultcurrent valuerelated methods
condition_delimiter'comma' or 'and'commacomma('with_comma_delimiter', 'with_conjunction_delimiter')
In [6]:
# display the expression information
stored_expr.expr_info()
 core typesub-expressionsexpression
0Conditionalvalue: 1
condition: 2
1Operationoperator: 9
operands: 3
2Operationoperator: 4
operands: 5
3ExprTuple6, 7
4Literal
5ExprTuple17, 8
6Operationoperator: 9
operands: 10
7Operationoperator: 11
operand: 17
8Operationoperator: 13
operands: 14
9Literal
10ExprTuple15, 16
11Variable
12ExprTuple17
13Literal
14ExprTuple18, 19
15Variable
16Variable
17Variable
18Literal
19Literal