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^*	⊢
	: , : , : , :
1	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rescale_interval_oo_membership
2	reference	10	⊢
3	reference	11	⊢
4	reference	38	⊢
5	instantiation	9, 10, 11, 38, 12	⊢
	: , : , :
6	theorem		⊢
	proveit.numbers.numerals.decimals.mult_2_2
7	instantiation	13, 35	⊢
	:
8	theorem		⊢
	proveit.numbers.numerals.decimals.mult_2_4
9	theorem		⊢
	proveit.numbers.number_sets.real_numbers.in_IntervalOO
10	instantiation	43, 39, 14	⊢
	: , : , :
11	instantiation	43, 39, 15	⊢
	: , : , :
12	instantiation	16, 17, 18	⊢
	: , :
13	theorem		⊢
	proveit.numbers.multiplication.elim_one_right
14	instantiation	43, 41, 19	⊢
	: , : , :
15	instantiation	43, 41, 20	⊢
	: , : , :
16	theorem		⊢
	proveit.logic.booleans.conjunction.and_if_both
17	theorem		⊢
	proveit.numbers.numerals.decimals.less_1_2
18	instantiation	21, 38, 22, 23, 24^, 25^	⊢
	: , : , :
19	instantiation	43, 44, 26	⊢
	: , : , :
20	instantiation	43, 44, 27	⊢
	: , : , :
21	theorem		⊢
	proveit.numbers.addition.strong_bound_via_left_term_bound
22	theorem		⊢
	proveit.numbers.number_sets.real_numbers.zero_is_real
23	instantiation	28, 29	⊢
	:
24	instantiation	30, 31, 32	⊢
	: , : , :
25	theorem		⊢
	proveit.numbers.numerals.decimals.add_2_2
26	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
27	theorem		⊢
	proveit.numbers.numerals.decimals.nat4
28	theorem		⊢
	proveit.numbers.number_sets.natural_numbers.natural_pos_is_pos
29	theorem		⊢
	proveit.numbers.numerals.decimals.posnat2
30	theorem		⊢
	proveit.logic.equality.sub_right_side_into
31	instantiation	33, 35	⊢
	:
32	instantiation	34, 35, 36	⊢
	: , :
33	theorem		⊢
	proveit.numbers.addition.elim_zero_right
34	theorem		⊢
	proveit.numbers.addition.commutation
35	instantiation	43, 37, 38	⊢
	: , : , :
36	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.zero_is_complex
37	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
38	instantiation	43, 39, 40	⊢
	: , : , :
39	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
40	instantiation	43, 41, 42	⊢
	: , : , :
41	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
42	instantiation	43, 44, 45	⊢
	: , : , :
43	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
44	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
45	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
^*equality replacement requirements