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Expression of type ExprTuple

from the theory of proveit.core_expr_types.lambda_maps

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, Qx, fx, gx, x
In [2]:
# build up the expression from sub-expressions
expr = ExprTuple(Lambda(x, Conditional(fx, Qx)), Lambda(x, Conditional(gx, Qx)))
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(x \mapsto \left\{f\left(x\right) \textrm{ if } Q\left(x\right)\right.., x \mapsto \left\{g\left(x\right) \textrm{ if } Q\left(x\right)\right..\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
1Lambdaparameter: 12
body: 3
2Lambdaparameter: 12
body: 4
3Conditionalvalue: 5
condition: 7
4Conditionalvalue: 6
condition: 7
5Operationoperator: 8
operand: 12
6Operationoperator: 9
operand: 12
7Operationoperator: 10
operand: 12
8Variable
9Variable
10Variable
11ExprTuple12
12Variable