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.division.prod_of_fracs
2	reference	13	⊢
3	reference	21	⊢
4	instantiation	33, 8, 9	⊢
	: , : , :
5	instantiation	10, 11, 22	, ⊢
	: , :
6	instantiation	12, 13	⊢
	:
7	instantiation	14, 15	⊢
	:
8	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_nonzero_within_complex_nonzero
9	instantiation	33, 16, 17	⊢
	: , : , :
10	theorem		⊢
	proveit.numbers.exponentiation.exp_complex_nonzero_closure
11	instantiation	18, 21, 19	, ⊢
	:
12	theorem		⊢
	proveit.numbers.division.frac_one_denom
13	assumption		⊢
14	theorem		⊢
	proveit.numbers.multiplication.elim_one_left
15	instantiation	20, 21, 22	⊢
	: , :
16	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_nonzero_within_real_nonzero
17	instantiation	33, 23, 24	⊢
	: , : , :
18	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.nonzero_complex_is_complex_nonzero
19	assumption		⊢
20	theorem		⊢
	proveit.numbers.exponentiation.exp_complex_closure
21	assumption		⊢
22	instantiation	33, 25, 26	⊢
	: , : , :
23	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.nonzero_int_within_rational_nonzero
24	instantiation	33, 27, 28	⊢
	: , : , :
25	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
26	instantiation	33, 29, 30	⊢
	: , : , :
27	theorem		⊢
	proveit.numbers.number_sets.integers.nat_pos_within_nonzero_int
28	theorem		⊢
	proveit.numbers.numerals.decimals.posnat1
29	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
30	instantiation	33, 31, 32	⊢
	: , : , :
31	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
32	instantiation	33, 34, 35	⊢
	: , : , :
33	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
34	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
35	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
^*equality replacement requirements