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