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_cc_membership
2	reference	10	⊢
3	reference	11	⊢
4	reference	22	⊢
5	instantiation	9, 10, 11, 12, 13	⊢
	: , : , :
6	theorem		⊢
	proveit.numbers.numerals.decimals.mult_2_3
7	instantiation	14, 15	⊢
	:
8	theorem		⊢
	proveit.numbers.numerals.decimals.mult_2_4
9	theorem		⊢
	proveit.numbers.number_sets.real_numbers.in_IntervalCC
10	theorem		⊢
	proveit.numbers.number_sets.real_numbers.zero_is_real
11	instantiation	34, 28, 16	⊢
	: , : , :
12	instantiation	34, 28, 17	⊢
	: , : , :
13	instantiation	18, 19, 20	⊢
	: , :
14	theorem		⊢
	proveit.numbers.multiplication.mult_zero_right
15	instantiation	34, 21, 22	⊢
	: , : , :
16	instantiation	34, 32, 23	⊢
	: , : , :
17	instantiation	34, 32, 24	⊢
	: , : , :
18	theorem		⊢
	proveit.logic.booleans.conjunction.and_if_both
19	instantiation	25, 31	⊢
	:
20	instantiation	26, 27	⊢
	: , :
21	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
22	instantiation	34, 28, 29	⊢
	: , : , :
23	instantiation	34, 35, 30	⊢
	: , : , :
24	instantiation	34, 35, 31	⊢
	: , : , :
25	theorem		⊢
	proveit.numbers.number_sets.natural_numbers.natural_lower_bound
26	theorem		⊢
	proveit.numbers.ordering.relax_less
27	theorem		⊢
	proveit.numbers.numerals.decimals.less_3_4
28	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
29	instantiation	34, 32, 33	⊢
	: , : , :
30	theorem		⊢
	proveit.numbers.numerals.decimals.nat4
31	theorem		⊢
	proveit.numbers.numerals.decimals.nat3
32	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
33	instantiation	34, 35, 36	⊢
	: , : , :
34	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
35	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
36	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
^*equality replacement requirements