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_co_membership
2	reference	14	⊢
3	reference	15	⊢
4	reference	19	⊢
5	instantiation	9, 14, 15, 10	⊢
	: , : , :
6	theorem		⊢
	proveit.numbers.numerals.decimals.mult_4_2
7	instantiation	11, 12	⊢
	:
8	theorem		⊢
	proveit.numbers.numerals.decimals.mult_4_3
9	theorem		⊢
	proveit.numbers.number_sets.real_numbers.relax_IntervalOO_left
10	instantiation	13, 14, 15, 16, 17	⊢
	: , : , :
11	theorem		⊢
	proveit.numbers.multiplication.elim_one_right
12	instantiation	36, 18, 19	⊢
	: , : , :
13	theorem		⊢
	proveit.numbers.number_sets.real_numbers.in_IntervalOO
14	instantiation	36, 26, 20	⊢
	: , : , :
15	instantiation	36, 26, 21	⊢
	: , : , :
16	instantiation	36, 26, 22	⊢
	: , : , :
17	instantiation	23, 24, 25	⊢
	: , :
18	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
19	instantiation	36, 26, 27	⊢
	: , : , :
20	instantiation	36, 31, 28	⊢
	: , : , :
21	instantiation	36, 31, 29	⊢
	: , : , :
22	instantiation	36, 31, 30	⊢
	: , : , :
23	theorem		⊢
	proveit.logic.booleans.conjunction.and_if_both
24	theorem		⊢
	proveit.numbers.numerals.decimals.less_1_2
25	theorem		⊢
	proveit.numbers.numerals.decimals.less_2_3
26	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
27	instantiation	36, 31, 32	⊢
	: , : , :
28	instantiation	36, 37, 33	⊢
	: , : , :
29	instantiation	36, 37, 34	⊢
	: , : , :
30	instantiation	36, 37, 35	⊢
	: , : , :
31	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
32	instantiation	36, 37, 38	⊢
	: , : , :
33	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
34	theorem		⊢
	proveit.numbers.numerals.decimals.nat3
35	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
36	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
37	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
38	theorem		⊢
	proveit.numbers.numerals.decimals.nat4
^*equality replacement requirements