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^	⊢
	: , : , :
1	theorem		⊢
	proveit.numbers.exponentiation.neg_power_of_quotient
2	instantiation	32, 8, 7	⊢
	: , : , :
3	instantiation	32, 8, 9	⊢
	: , : , :
4	theorem		⊢
	proveit.numbers.numerals.decimals.posnat1
5	instantiation	11, 10	⊢
	:
6	instantiation	11, 12	⊢
	:
7	instantiation	32, 14, 13	⊢
	: , : , :
8	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_nonzero_within_complex_nonzero
9	instantiation	32, 14, 15	⊢
	: , : , :
10	instantiation	32, 17, 16	⊢
	: , : , :
11	theorem		⊢
	proveit.numbers.exponentiation.complex_x_to_first_power_is_x
12	instantiation	32, 17, 18	⊢
	: , : , :
13	instantiation	32, 20, 19	⊢
	: , : , :
14	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_nonzero_within_real_nonzero
15	instantiation	32, 20, 21	⊢
	: , : , :
16	instantiation	32, 23, 22	⊢
	: , : , :
17	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
18	instantiation	32, 23, 24	⊢
	: , : , :
19	instantiation	32, 26, 25	⊢
	: , : , :
20	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.nonzero_int_within_rational_nonzero
21	instantiation	32, 26, 27	⊢
	: , : , :
22	instantiation	32, 29, 28	⊢
	: , : , :
23	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
24	instantiation	32, 29, 30	⊢
	: , : , :
25	theorem		⊢
	proveit.numbers.numerals.decimals.posnat2
26	theorem		⊢
	proveit.numbers.number_sets.integers.nat_pos_within_nonzero_int
27	theorem		⊢
	proveit.numbers.numerals.decimals.posnat3
28	instantiation	32, 33, 31	⊢
	: , : , :
29	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
30	instantiation	32, 33, 34	⊢
	: , : , :
31	theorem		⊢
	proveit.numbers.numerals.decimals.nat3
32	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
33	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
34	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
^*equality replacement requirements