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	4, 5, 6, 7	⊢
	: , :
3	instantiation	8, 9, 10	⊢
	: , :
4	theorem		⊢
	proveit.numbers.division.div_complex_closure
5	instantiation	29, 15, 11	⊢
	: , : , :
6	instantiation	29, 15, 12	⊢
	: , : , :
7	instantiation	13, 14	⊢
	:
8	theorem		⊢
	proveit.numbers.exponentiation.exp_complex_closure
9	assumption		⊢
10	instantiation	29, 15, 16	⊢
	: , : , :
11	instantiation	29, 23, 17	⊢
	: , : , :
12	instantiation	29, 23, 18	⊢
	: , : , :
13	theorem		⊢
	proveit.numbers.number_sets.natural_numbers.nonzero_if_is_nat_pos
14	theorem		⊢
	proveit.numbers.numerals.decimals.posnat2
15	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
16	instantiation	19, 20	⊢
	:
17	instantiation	29, 27, 21	⊢
	: , : , :
18	instantiation	29, 27, 22	⊢
	: , : , :
19	theorem		⊢
	proveit.numbers.negation.real_closure
20	instantiation	29, 23, 24	⊢
	: , : , :
21	instantiation	29, 30, 25	⊢
	: , : , :
22	instantiation	29, 30, 26	⊢
	: , : , :
23	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
24	instantiation	29, 27, 28	⊢
	: , : , :
25	theorem		⊢
	proveit.numbers.numerals.decimals.nat3
26	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
27	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
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