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Expression of type And

from the theory of proveit.logic.booleans.conjunction

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.core_expr_types import A_1_to_l, B_1_to_m, C_1_to_n
from proveit.logic import And
In [2]:
# build up the expression from sub-expressions
expr = And(A_1_to_l, And(B_1_to_m), C_1_to_n)
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())
A_{1} \land  A_{2} \land  \ldots \land  A_{l} \land \left(B_{1} \land  B_{2} \land  \ldots \land  B_{m}\right)\land C_{1} \land  C_{2} \land  \ldots \land  C_{n}
In [5]:
stored_expr.style_options()
namedescriptiondefaultcurrent valuerelated methods
operation'infix' or 'function' style formattinginfixinfix
wrap_positionsposition(s) at which wrapping is to occur; '2 n - 1' is after the nth operand, '2 n' is after the nth operation.()()('with_wrapping_at', 'with_wrap_before_operator', 'with_wrap_after_operator', 'without_wrapping', 'wrap_positions')
justificationif any wrap positions are set, justify to the 'left', 'center', or 'right'centercenter('with_justification',)
In [6]:
# display the expression information
stored_expr.expr_info()
 core typesub-expressionsexpression
0Operationoperator: 7
operands: 1
1ExprTuple2, 3, 4
2ExprRangelambda_map: 5
start_index: 16
end_index: 6
3Operationoperator: 7
operands: 8
4ExprRangelambda_map: 9
start_index: 16
end_index: 10
5Lambdaparameter: 22
body: 11
6Variable
7Literal
8ExprTuple12
9Lambdaparameter: 22
body: 13
10Variable
11IndexedVarvariable: 14
index: 22
12ExprRangelambda_map: 15
start_index: 16
end_index: 17
13IndexedVarvariable: 18
index: 22
14Variable
15Lambdaparameter: 22
body: 19
16Literal
17Variable
18Variable
19IndexedVarvariable: 20
index: 22
20Variable
21ExprTuple22
22Variable