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, 13, 14^*	, , ⊢
	: , : , : , : , : , :
1	theorem		⊢
	proveit.numbers.addition.association
2	reference	24	⊢
3	reference	36	⊢
4	theorem		⊢
	proveit.numbers.numerals.decimals.nat8
5	reference	25	⊢
6	instantiation	31	⊢
	: , :
7	instantiation	15	⊢
	: , : , : , : , : , : , : , :
8	reference	35	⊢
9	reference	27	⊢
10	instantiation	42, 32, 16	⊢
	: , : , :
11	instantiation	42, 32, 17	⊢
	: , : , :
12	assumption		⊢
13	assumption		⊢
14	instantiation	18, 19, 20^*	⊢
	: , :
15	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_8_typical_eq
16	instantiation	42, 38, 21	⊢
	: , : , :
17	instantiation	42, 38, 22	⊢
	: , : , :
18	theorem		⊢
	proveit.logic.equality.equals_reversal
19	instantiation	23, 24, 36, 44, 25, 26, 27, 35, 28^*	⊢
	: , : , : , : , : , :
20	theorem		⊢
	proveit.numbers.numerals.decimals.add_1_1
21	instantiation	42, 40, 29	⊢
	: , : , :
22	instantiation	42, 40, 30	⊢
	: , : , :
23	theorem		⊢
	proveit.numbers.multiplication.distribute_through_sum
24	axiom		⊢
	proveit.numbers.number_sets.natural_numbers.zero_in_nats
25	theorem		⊢
	proveit.core_expr_types.tuples.tuple_len_0_typical_eq
26	instantiation	31	⊢
	: , :
27	instantiation	42, 32, 33	⊢
	: , : , :
28	instantiation	34, 35	⊢
	:
29	instantiation	42, 43, 36	⊢
	: , : , :
30	instantiation	42, 43, 37	⊢
	: , : , :
31	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
32	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
33	instantiation	42, 38, 39	⊢
	: , : , :
34	theorem		⊢
	proveit.numbers.multiplication.elim_one_left
35	assumption		⊢
36	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
37	theorem		⊢
	proveit.numbers.numerals.decimals.nat3
38	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
39	instantiation	42, 40, 41	⊢
	: , : , :
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