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	⊢
	: , :
1	theorem		⊢
	proveit.numbers.division.div_complex_closure
2	instantiation	5, 6, 7	⊢
	: , :
3	instantiation	26, 12, 8	⊢
	: , : , :
4	instantiation	9, 10	⊢
	:
5	theorem		⊢
	proveit.numbers.addition.add_complex_closure_bin
6	instantiation	26, 12, 11	⊢
	: , : , :
7	instantiation	26, 12, 13	⊢
	: , : , :
8	instantiation	26, 18, 14	⊢
	: , : , :
9	theorem		⊢
	proveit.numbers.number_sets.natural_numbers.nonzero_if_is_nat_pos
10	theorem		⊢
	proveit.numbers.numerals.decimals.posnat2
11	instantiation	15, 16, 17	⊢
	: , : , :
12	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
13	instantiation	26, 18, 19	⊢
	: , : , :
14	instantiation	26, 23, 20	⊢
	: , : , :
15	theorem		⊢
	proveit.logic.sets.inclusion.unfold_subset_eq
16	instantiation	21, 22	⊢
	: , :
17	assumption		⊢
18	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
19	instantiation	26, 23, 24	⊢
	: , : , :
20	instantiation	26, 27, 25	⊢
	: , : , :
21	theorem		⊢
	proveit.logic.sets.inclusion.relax_proper_subset
22	theorem		⊢
	proveit.numbers.number_sets.real_numbers.nat_pos_within_real
23	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
24	instantiation	26, 27, 28	⊢
	: , : , :
25	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
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.nat1