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^*	⊢
	: , : , : , :
1	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rescale_interval_oc_membership
2	reference	9	⊢
3	reference	20	⊢
4	instantiation	8, 9, 20, 10, 11	⊢
	: , : , :
5	theorem		⊢
	proveit.numbers.numerals.decimals.mult_3_2
6	instantiation	12, 13	⊢
	:
7	theorem		⊢
	proveit.numbers.numerals.decimals.mult_3_3
8	theorem		⊢
	proveit.numbers.number_sets.real_numbers.in_IntervalOC
9	instantiation	31, 25, 14	⊢
	: , : , :
10	instantiation	31, 25, 15	⊢
	: , : , :
11	instantiation	16, 17, 18	⊢
	: , :
12	theorem		⊢
	proveit.numbers.multiplication.elim_one_right
13	instantiation	31, 19, 20	⊢
	: , : , :
14	instantiation	31, 29, 21	⊢
	: , : , :
15	instantiation	31, 29, 22	⊢
	: , : , :
16	theorem		⊢
	proveit.logic.booleans.conjunction.and_if_both
17	theorem		⊢
	proveit.numbers.numerals.decimals.less_1_2
18	instantiation	23, 24	⊢
	: , :
19	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
20	instantiation	31, 25, 26	⊢
	: , : , :
21	instantiation	31, 32, 27	⊢
	: , : , :
22	instantiation	31, 32, 28	⊢
	: , : , :
23	theorem		⊢
	proveit.numbers.ordering.relax_less
24	theorem		⊢
	proveit.numbers.numerals.decimals.less_2_3
25	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
26	instantiation	31, 29, 30	⊢
	: , : , :
27	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
28	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
29	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
30	instantiation	31, 32, 33	⊢
	: , : , :
31	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
32	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
33	theorem		⊢
	proveit.numbers.numerals.decimals.nat3
^*equality replacement requirements