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	⊢
	: , : , :
1	theorem		⊢
	proveit.numbers.number_sets.integers.int_not_in_interval
2	reference	34	⊢
3	instantiation	35, 36, 6	⊢
	: , : , :
4	reference	19	⊢
5	instantiation	7, 8, 9	⊢
	: , :
6	theorem		⊢
	proveit.numbers.numerals.decimals.nat7
7	theorem		⊢
	proveit.logic.booleans.disjunction.or_if_only_right
8	instantiation	10, 30, 11, 12	⊢
	: , :
9	theorem		⊢
	proveit.numbers.numerals.decimals.less_7_8
10	theorem		⊢
	proveit.numbers.ordering.not_less_from_less_eq
11	instantiation	35, 31, 13	⊢
	: , : , :
12	instantiation	14, 30, 15, 16, 17^, 18^	⊢
	: , : , :
13	instantiation	35, 33, 19	⊢
	: , : , :
14	theorem		⊢
	proveit.numbers.addition.weak_bound_via_left_term_bound
15	theorem		⊢
	proveit.numbers.number_sets.real_numbers.zero_is_real
16	instantiation	20, 37	⊢
	:
17	instantiation	21, 22, 23	⊢
	: , : , :
18	theorem		⊢
	proveit.numbers.numerals.decimals.add_4_4
19	instantiation	35, 36, 24	⊢
	: , : , :
20	theorem		⊢
	proveit.numbers.number_sets.natural_numbers.natural_lower_bound
21	theorem		⊢
	proveit.logic.equality.sub_right_side_into
22	instantiation	25, 27	⊢
	:
23	instantiation	26, 27, 28	⊢
	: , :
24	theorem		⊢
	proveit.numbers.numerals.decimals.nat8
25	theorem		⊢
	proveit.numbers.addition.elim_zero_right
26	theorem		⊢
	proveit.numbers.addition.commutation
27	instantiation	35, 29, 30	⊢
	: , : , :
28	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.zero_is_complex
29	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
30	instantiation	35, 31, 32	⊢
	: , : , :
31	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
32	instantiation	35, 33, 34	⊢
	: , : , :
33	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
34	instantiation	35, 36, 37	⊢
	: , : , :
35	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
36	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
37	theorem		⊢
	proveit.numbers.numerals.decimals.nat4
^*equality replacement requirements