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	44	⊢
3	reference	39	⊢
4	axiom		⊢
	proveit.numbers.number_sets.natural_numbers.zero_in_nats
5	instantiation	11	⊢
	: , :
6	theorem		⊢
	proveit.core_expr_types.tuples.tuple_len_0_typical_eq
7	instantiation	42, 29, 12	⊢
	: , : , :
8	reference	21	⊢
9	reference	20	⊢
10	instantiation	13, 14, 15	⊢
	: , : , :
11	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
12	instantiation	42, 35, 16	⊢
	: , : , :
13	theorem		⊢
	proveit.logic.equality.sub_right_side_into
14	instantiation	17, 25, 20, 18	⊢
	: , : , :
15	instantiation	19, 20, 21	⊢
	: , :
16	instantiation	42, 40, 22	⊢
	: , : , :
17	theorem		⊢
	proveit.numbers.addition.subtraction.subtract_from_add
18	theorem		⊢
	proveit.numbers.numerals.decimals.add_1_1
19	theorem		⊢
	proveit.numbers.addition.commutation
20	instantiation	42, 29, 23	⊢
	: , : , :
21	instantiation	24, 25	⊢
	:
22	instantiation	42, 26, 27	⊢
	: , : , :
23	instantiation	42, 35, 28	⊢
	: , : , :
24	theorem		⊢
	proveit.numbers.negation.complex_closure
25	instantiation	42, 29, 30	⊢
	: , : , :
26	instantiation	31, 32, 33	⊢
	: , :
27	assumption		⊢
28	instantiation	42, 40, 34	⊢
	: , : , :
29	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
30	instantiation	42, 35, 36	⊢
	: , : , :
31	theorem		⊢
	proveit.numbers.number_sets.integers.int_interval_within_int
32	instantiation	42, 43, 37	⊢
	: , : , :
33	instantiation	42, 43, 38	⊢
	: , : , :
34	instantiation	42, 43, 39	⊢
	: , : , :
35	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
36	instantiation	42, 40, 41	⊢
	: , : , :
37	theorem		⊢
	proveit.numbers.numerals.decimals.nat3
38	theorem		⊢
	proveit.numbers.numerals.decimals.nat7
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