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.commutation
2	instantiation	4, 5, 6	⊢
	: , :
3	instantiation	29, 9, 7	⊢
	: , : , :
4	theorem		⊢
	proveit.numbers.addition.add_complex_closure_bin
5	instantiation	29, 9, 8	⊢
	: , : , :
6	instantiation	29, 9, 10	⊢
	: , : , :
7	instantiation	29, 15, 11	⊢
	: , : , :
8	instantiation	12, 13, 14	⊢
	: , : , :
9	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
10	instantiation	29, 15, 16	⊢
	: , : , :
11	instantiation	29, 17, 18	⊢
	: , : , :
12	theorem		⊢
	proveit.logic.sets.inclusion.unfold_subset_eq
13	instantiation	19, 20	⊢
	: , :
14	assumption		⊢
15	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
16	instantiation	29, 21, 22	⊢
	: , : , :
17	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.rational_pos_within_rational
18	instantiation	23, 24, 25	⊢
	: , :
19	theorem		⊢
	proveit.logic.sets.inclusion.relax_proper_subset
20	theorem		⊢
	proveit.numbers.number_sets.real_numbers.nat_pos_within_real
21	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
22	instantiation	29, 26, 27	⊢
	: , : , :
23	theorem		⊢
	proveit.numbers.division.div_rational_pos_closure
24	instantiation	29, 30, 28	⊢
	: , : , :
25	instantiation	29, 30, 31	⊢
	: , : , :
26	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
27	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
28	theorem		⊢
	proveit.numbers.numerals.decimals.posnat1
29	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
30	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.nat_pos_within_rational_pos
31	theorem		⊢
	proveit.numbers.numerals.decimals.posnat2