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	20	⊢
2	instantiation	20, 4, 5	, , , ⊢
	: , : , :
3	instantiation	6, 11, 31, 32, 7, 8, 34, 36, 13, 37, 35, 9	, , , ⊢
	: , : , : , : , : , :
4	instantiation	10, 32, 11, 34, 12, 13, 37, 14, 36	, , , ⊢
	: , : , : , : , : , : , :
5	instantiation	24, 15	, , ⊢
	: , : , :
6	theorem		⊢
	proveit.numbers.multiplication.disassociation
7	instantiation	16	⊢
	: , : , :
8	instantiation	38	⊢
	: , :
9	instantiation	17, 36, 37	, ⊢
	: , :
10	theorem		⊢
	proveit.numbers.multiplication.leftward_commutation
11	theorem		⊢
	proveit.numbers.numerals.decimals.nat3
12	instantiation	16	⊢
	: , : , :
13	assumption		⊢
14	instantiation	17, 18, 19	, , ⊢
	: , :
15	instantiation	20, 21, 22	, , ⊢
	: , : , :
16	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_3_typical_eq
17	theorem		⊢
	proveit.numbers.addition.add_complex_closure_bin
18	instantiation	23, 35, 36	, ⊢
	: , :
19	instantiation	23, 37, 35	, ⊢
	: , :
20	axiom		⊢
	proveit.logic.equality.equals_transitivity
21	instantiation	24, 25	, ⊢
	: , : , :
22	instantiation	26, 27	, , ⊢
	: , :
23	theorem		⊢
	proveit.numbers.multiplication.mult_complex_closure_bin
24	axiom		⊢
	proveit.logic.equality.substitution
25	instantiation	28, 37, 35	, ⊢
	: , :
26	theorem		⊢
	proveit.logic.equality.equals_reversal
27	instantiation	29, 30, 31, 32, 33, 34, 35, 36, 37	, , ⊢
	: , : , : , : , : , :
28	theorem		⊢
	proveit.numbers.multiplication.commutation
29	theorem		⊢
	proveit.numbers.multiplication.distribute_through_sum
30	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
31	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
32	axiom		⊢
	proveit.numbers.number_sets.natural_numbers.zero_in_nats
33	instantiation	38	⊢
	: , :
34	theorem		⊢
	proveit.core_expr_types.tuples.tuple_len_0_typical_eq
35	assumption		⊢
36	assumption		⊢
37	assumption		⊢
38	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_2_typical_eq