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.logic.equality.equals_reversal
2	instantiation	3, 4, 5, 10, 6	⊢
	: , : , :
3	theorem		⊢
	proveit.numbers.division.mult_frac_left
4	instantiation	32, 15, 7	⊢
	: , : , :
5	instantiation	8, 9, 10	⊢
	: , :
6	instantiation	11, 12	⊢
	:
7	instantiation	32, 20, 13	⊢
	: , : , :
8	theorem		⊢
	proveit.numbers.addition.add_complex_closure_bin
9	instantiation	32, 15, 14	⊢
	: , : , :
10	instantiation	32, 15, 16	⊢
	: , : , :
11	theorem		⊢
	proveit.numbers.number_sets.natural_numbers.nonzero_if_is_nat_pos
12	theorem		⊢
	proveit.numbers.numerals.decimals.posnat2
13	instantiation	32, 27, 17	⊢
	: , : , :
14	instantiation	18, 19, 30	⊢
	: , : , :
15	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
16	instantiation	32, 20, 21	⊢
	: , : , :
17	instantiation	22, 23, 24	⊢
	: , :
18	theorem		⊢
	proveit.logic.sets.inclusion.unfold_subset_eq
19	instantiation	25, 26	⊢
	: , :
20	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
21	instantiation	32, 27, 28	⊢
	: , : , :
22	theorem		⊢
	proveit.numbers.addition.add_int_closure_bin
23	instantiation	32, 29, 30	⊢
	: , : , :
24	instantiation	32, 33, 31	⊢
	: , : , :
25	theorem		⊢
	proveit.logic.sets.inclusion.relax_proper_subset
26	theorem		⊢
	proveit.numbers.number_sets.real_numbers.nat_pos_within_real
27	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
28	instantiation	32, 33, 34	⊢
	: , : , :
29	theorem		⊢
	proveit.numbers.number_sets.integers.nat_pos_within_int
30	assumption		⊢
31	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
32	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
33	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
34	theorem		⊢
	proveit.numbers.numerals.decimals.nat2