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	⊢
	: , :
1	theorem		⊢
	proveit.numbers.multiplication.mult_complex_closure_bin
2	reference	16	⊢
3	instantiation	4, 8, 5, 6	⊢
	: , :
4	theorem		⊢
	proveit.numbers.division.div_complex_closure
5	instantiation	7, 16, 8	⊢
	: , :
6	instantiation	9, 10, 11	⊢
	: , : , :
7	theorem		⊢
	proveit.numbers.exponentiation.exp_complex_closure
8	instantiation	26, 18, 12	⊢
	: , : , :
9	theorem		⊢
	proveit.logic.equality.sub_left_side_into
10	instantiation	13, 14	⊢
	:
11	instantiation	15, 16	⊢
	:
12	instantiation	26, 21, 17	⊢
	: , : , :
13	theorem		⊢
	proveit.numbers.number_sets.natural_numbers.nonzero_if_is_nat_pos
14	theorem		⊢
	proveit.numbers.numerals.decimals.posnat2
15	theorem		⊢
	proveit.numbers.exponentiation.complex_x_to_first_power_is_x
16	instantiation	26, 18, 19	⊢
	: , : , :
17	instantiation	26, 24, 20	⊢
	: , : , :
18	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
19	instantiation	26, 21, 22	⊢
	: , : , :
20	instantiation	26, 27, 23	⊢
	: , : , :
21	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
22	instantiation	26, 24, 25	⊢
	: , : , :
23	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
24	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
25	instantiation	26, 27, 28	⊢
	: , : , :
26	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
27	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
28	theorem		⊢
	proveit.numbers.numerals.decimals.nat2