Show the Proof¶

In [1]:

import proveit
# Automation is not needed when only showing a stored proof:
proveit.defaults.automation = False # This will speed things up.
proveit.defaults.inline_pngs = False # Makes files smaller.
%show_proof

Out[1]:

	step type	requirements	statement
0	instantiation	1, 2, 3	, , , ⊢
	: , : , :
1	reference	10	⊢
2	instantiation	14, 4	, , ⊢
	: , : , :
3	instantiation	5, 21, 20, 6, 7, 8, 27, 25, 9, 26	, , , ⊢
	: , : , : , : , : , :
4	instantiation	10, 11, 12	, , ⊢
	: , : , :
5	theorem		⊢
	proveit.numbers.multiplication.disassociation
6	instantiation	28	⊢
	: , :
7	instantiation	28	⊢
	: , :
8	assumption		⊢
9	instantiation	13, 26, 27	, ⊢
	: , :
10	axiom		⊢
	proveit.logic.equality.equals_transitivity
11	instantiation	14, 15	, ⊢
	: , : , :
12	instantiation	16, 17	, , ⊢
	: , :
13	theorem		⊢
	proveit.numbers.addition.add_complex_closure_bin
14	axiom		⊢
	proveit.logic.equality.substitution
15	instantiation	18, 27, 25	, ⊢
	: , :
16	theorem		⊢
	proveit.logic.equality.equals_reversal
17	instantiation	19, 20, 21, 22, 23, 24, 25, 26, 27	, , ⊢
	: , : , : , : , : , :
18	theorem		⊢
	proveit.numbers.multiplication.commutation
19	theorem		⊢
	proveit.numbers.multiplication.distribute_through_sum
20	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
21	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
22	axiom		⊢
	proveit.numbers.number_sets.natural_numbers.zero_in_nats
23	instantiation	28	⊢
	: , :
24	theorem		⊢
	proveit.core_expr_types.tuples.tuple_len_0_typical_eq
25	assumption		⊢
26	assumption		⊢
27	assumption		⊢
28	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_2_typical_eq