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Expression of type ExprTuple

from the theory of proveit.logic.equality

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 ExprTuple, a, b, c, fab, fxy, x, y
from proveit.logic import And, Equals, Implies
In [2]:
# build up the expression from sub-expressions
expr = ExprTuple(And(Equals(x, a), Equals(y, b)), Implies(Equals(fab, c), Equals(fxy, c)))
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(x = a\right) \land \left(y = b\right), \left(f\left(a, b\right) = c\right) \Rightarrow \left(f\left(x, y\right) = c\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: 3
operands: 4
2Operationoperator: 5
operands: 6
3Literal
4ExprTuple7, 8
5Literal
6ExprTuple9, 10
7Operationoperator: 14
operands: 11
8Operationoperator: 14
operands: 12
9Operationoperator: 14
operands: 13
10Operationoperator: 14
operands: 15
11ExprTuple24, 22
12ExprTuple25, 23
13ExprTuple16, 18
14Literal
15ExprTuple17, 18
16Operationoperator: 20
operands: 19
17Operationoperator: 20
operands: 21
18Variable
19ExprTuple22, 23
20Variable
21ExprTuple24, 25
22Variable
23Variable
24Variable
25Variable