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