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	⊢
	: , : , :
1	reference	42	⊢
2	theorem		⊢
	proveit.numbers.number_sets.integers.nat_pos_within_int
3	instantiation	4, 16, 5, 6, 7	⊢
	: , : , :
4	theorem		⊢
	proveit.numbers.numerals.decimals.deci_sequence_is_nat_pos
5	instantiation	9, 16, 8	⊢
	:
6	instantiation	9, 44, 10	⊢
	:
7	theorem		⊢
	proveit.numbers.numerals.decimals.less_0_1
8	instantiation	13, 11, 12	⊢
	: , :
9	theorem		⊢
	proveit.numbers.numerals.decimals.n_in_digits
10	instantiation	13, 14, 15	⊢
	: , :
11	instantiation	26, 16	⊢
	:
12	instantiation	17, 18	⊢
	:
13	theorem		⊢
	proveit.logic.booleans.conjunction.and_if_both
14	instantiation	26, 44	⊢
	:
15	instantiation	19, 37, 20, 21, 22, 23^, 24^	⊢
	: , : , :
16	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
17	theorem		⊢
	proveit.numbers.number_sets.natural_numbers.natural_pos_lower_bound
18	theorem		⊢
	proveit.numbers.numerals.decimals.posnat9
19	theorem		⊢
	proveit.numbers.addition.weak_bound_via_left_term_bound
20	theorem		⊢
	proveit.numbers.number_sets.real_numbers.zero_is_real
21	instantiation	42, 38, 25	⊢
	: , : , :
22	instantiation	26, 35	⊢
	:
23	instantiation	27, 28, 29	⊢
	: , : , :
24	theorem		⊢
	proveit.numbers.numerals.decimals.add_4_5
25	instantiation	42, 40, 30	⊢
	: , : , :
26	theorem		⊢
	proveit.numbers.number_sets.natural_numbers.natural_lower_bound
27	theorem		⊢
	proveit.logic.equality.sub_right_side_into
28	instantiation	31, 33	⊢
	:
29	instantiation	32, 33, 34	⊢
	: , :
30	instantiation	42, 43, 35	⊢
	: , : , :
31	theorem		⊢
	proveit.numbers.addition.elim_zero_right
32	theorem		⊢
	proveit.numbers.addition.commutation
33	instantiation	42, 36, 37	⊢
	: , : , :
34	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.zero_is_complex
35	theorem		⊢
	proveit.numbers.numerals.decimals.nat4
36	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
37	instantiation	42, 38, 39	⊢
	: , : , :
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.nat5
^*equality replacement requirements