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	⊢
	: , : , :
1	theorem		⊢
	proveit.logic.sets.enumeration.fold
2	reference	39	⊢
3	instantiation	5	⊢
	: , :
4	instantiation	6, 7, 8	⊢
	: , :
5	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
6	theorem		⊢
	proveit.logic.booleans.disjunction.or_if_only_right
7	instantiation	9, 10	⊢
	: , :
8	instantiation	11, 12	⊢
	: , :
9	theorem		⊢
	proveit.logic.equality.unfold_not_equals
10	instantiation	13, 14	⊢
	: , :
11	theorem		⊢
	proveit.logic.equality.equals_reversal
12	instantiation	28, 24, 15	⊢
	: , : , :
13	theorem		⊢
	proveit.logic.equality.not_equals_symmetry
14	instantiation	16, 46, 17, 18	⊢
	: , :
15	instantiation	33, 19, 34	⊢
	: , :
16	theorem		⊢
	proveit.numbers.ordering.less_is_not_eq_nat
17	theorem		⊢
	proveit.numbers.numerals.decimals.nat3
18	instantiation	20, 38, 21, 25, 22, 23^, 24^	⊢
	: , : , :
19	instantiation	44, 37, 25	⊢
	: , : , :
20	theorem		⊢
	proveit.numbers.addition.strong_bound_via_left_term_bound
21	theorem		⊢
	proveit.numbers.number_sets.real_numbers.zero_is_real
22	instantiation	26, 27	⊢
	:
23	instantiation	28, 29, 30	⊢
	: , : , :
24	theorem		⊢
	proveit.numbers.numerals.decimals.add_2_1
25	instantiation	44, 40, 31	⊢
	: , : , :
26	theorem		⊢
	proveit.numbers.number_sets.natural_numbers.natural_pos_is_pos
27	theorem		⊢
	proveit.numbers.numerals.decimals.posnat2
28	theorem		⊢
	proveit.logic.equality.sub_right_side_into
29	instantiation	32, 34	⊢
	:
30	instantiation	33, 34, 35	⊢
	: , :
31	instantiation	44, 42, 36	⊢
	: , : , :
32	theorem		⊢
	proveit.numbers.addition.elim_zero_right
33	theorem		⊢
	proveit.numbers.addition.commutation
34	instantiation	44, 37, 38	⊢
	: , : , :
35	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.zero_is_complex
36	instantiation	44, 45, 39	⊢
	: , : , :
37	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
38	instantiation	44, 40, 41	⊢
	: , : , :
39	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
40	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
41	instantiation	44, 42, 43	⊢
	: , : , :
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