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, 4, 5, 6, 7, 8, 9, 10, 11, 12^*	, , ⊢
	: , : , : , : , : , :
1	theorem		⊢
	proveit.numbers.addition.association
2	theorem		⊢
	proveit.numbers.numerals.decimals.nat3
3	reference	41	⊢
4	reference	25	⊢
5	instantiation	13	⊢
	: , : , :
6	instantiation	32	⊢
	: , :
7	reference	26	⊢
8	instantiation	44, 33, 14	⊢
	: , : , :
9	instantiation	16, 17, 15	⊢
	: , :
10	instantiation	16, 17, 18	⊢
	: , :
11	reference	36	⊢
12	instantiation	19, 20, 21^*	⊢
	: , :
13	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_3_typical_eq
14	instantiation	44, 39, 22	⊢
	: , : , :
15	assumption		⊢
16	theorem		⊢
	proveit.numbers.multiplication.mult_complex_closure_bin
17	instantiation	44, 33, 23	⊢
	: , : , :
18	assumption		⊢
19	theorem		⊢
	proveit.logic.equality.equals_reversal
20	instantiation	24, 25, 41, 46, 26, 27, 28, 36, 29^*	⊢
	: , : , : , : , : , :
21	theorem		⊢
	proveit.numbers.numerals.decimals.add_1_1
22	instantiation	44, 42, 30	⊢
	: , : , :
23	instantiation	44, 39, 31	⊢
	: , : , :
24	theorem		⊢
	proveit.numbers.multiplication.distribute_through_sum
25	axiom		⊢
	proveit.numbers.number_sets.natural_numbers.zero_in_nats
26	theorem		⊢
	proveit.core_expr_types.tuples.tuple_len_0_typical_eq
27	instantiation	32	⊢
	: , :
28	instantiation	44, 33, 34	⊢
	: , : , :
29	instantiation	35, 36	⊢
	:
30	instantiation	44, 45, 37	⊢
	: , : , :
31	instantiation	44, 42, 38	⊢
	: , : , :
32	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
33	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
34	instantiation	44, 39, 40	⊢
	: , : , :
35	theorem		⊢
	proveit.numbers.multiplication.elim_one_left
36	assumption		⊢
37	theorem		⊢
	proveit.numbers.numerals.decimals.nat9
38	instantiation	44, 45, 41	⊢
	: , : , :
39	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
40	instantiation	44, 42, 43	⊢
	: , : , :
41	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
42	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
43	instantiation	44, 45, 46	⊢
	: , : , :
44	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
45	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
46	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
^*equality replacement requirements