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