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	instantiation	29, 13, 4	⊢
	: , : , :
3	instantiation	5, 6, 7	⊢
	: , :
4	instantiation	8, 9, 10, 11	⊢
	: , :
5	theorem		⊢
	proveit.numbers.exponentiation.exp_complex_closure
6	instantiation	29, 13, 12	⊢
	: , : , :
7	instantiation	29, 13, 14	⊢
	: , : , :
8	theorem		⊢
	proveit.numbers.division.div_real_closure
9	instantiation	29, 21, 15	⊢
	: , : , :
10	instantiation	29, 21, 16	⊢
	: , : , :
11	instantiation	17, 18	⊢
	:
12	instantiation	29, 19, 20	⊢
	: , : , :
13	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
14	instantiation	29, 21, 22	⊢
	: , : , :
15	instantiation	29, 24, 28	⊢
	: , : , :
16	instantiation	29, 24, 23	⊢
	: , : , :
17	theorem		⊢
	proveit.numbers.number_sets.natural_numbers.nonzero_if_is_nat_pos
18	theorem		⊢
	proveit.numbers.numerals.decimals.posnat2
19	theorem		⊢
	proveit.numbers.number_sets.real_numbers.real_pos_within_real
20	theorem		⊢
	proveit.numbers.number_sets.real_numbers.pi_is_real_pos
21	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
22	instantiation	29, 24, 25	⊢
	: , : , :
23	instantiation	29, 30, 26	⊢
	: , : , :
24	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
25	instantiation	27, 28	⊢
	:
26	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
27	theorem		⊢
	proveit.numbers.negation.int_closure
28	instantiation	29, 30, 31	⊢
	: , : , :
29	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
30	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
31	theorem		⊢
	proveit.numbers.numerals.decimals.nat1