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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, E, ExprRange, ExprTuple, F, G, H, Variable
from proveit.core_expr_types import Len
from proveit.numbers import eight, one
In [2]:
# build up the expression from sub-expressions
sub_expr1 = Variable("_a", latex_format = r"{_{-}a}")
expr = ExprTuple(Len(operands = [A, B, C, D, E, F, G, H]), Len(operands = [ExprRange(sub_expr1, sub_expr1, one, eight)]))
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(A, B, C, D, E, F, G, H\right)|, |\left(1, 2, \ldots, 8\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
1Operationoperator: 4
operands: 3
2Operationoperator: 4
operands: 5
3ExprTuple6, 7, 8, 9, 10, 11, 12, 13
4Literal
5ExprTuple14
6Variable
7Variable
8Variable
9Variable
10Variable
11Variable
12Variable
13Variable
14ExprRangelambda_map: 15
start_index: 16
end_index: 17
15Lambdaparameter: 19
body: 19
16Literal
17Literal
18ExprTuple19
19Variable