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, 4	⊢
	: , : , :
1	theorem		⊢
	proveit.numbers.addition.subtraction.add_cancel_triple_12
2	instantiation	37, 6, 5	⊢
	: , : , :
3	instantiation	37, 6, 7	⊢
	: , : , :
4	instantiation	8	⊢
	:
5	instantiation	9, 10, 11, 12	⊢
	: , : , :
6	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
7	instantiation	13, 14, 19	⊢
	: , :
8	axiom		⊢
	proveit.logic.equality.equals_reflexivity
9	theorem		⊢
	proveit.numbers.number_sets.real_numbers.all_in_interval_oo__is__real
10	instantiation	15, 16	⊢
	:
11	theorem		⊢
	proveit.numbers.number_sets.real_numbers.zero_is_real
12	assumption		⊢
13	theorem		⊢
	proveit.numbers.multiplication.mult_real_closure_bin
14	instantiation	37, 26, 17	⊢
	: , : , :
15	theorem		⊢
	proveit.numbers.negation.real_closure
16	instantiation	18, 19, 20, 21	⊢
	: , :
17	instantiation	37, 22, 23	⊢
	: , : , :
18	theorem		⊢
	proveit.numbers.division.div_real_closure
19	instantiation	37, 24, 25	⊢
	: , : , :
20	instantiation	37, 26, 27	⊢
	: , : , :
21	instantiation	28, 36	⊢
	:
22	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.rational_pos_within_rational
23	instantiation	29, 30, 31	⊢
	: , :
24	theorem		⊢
	proveit.numbers.number_sets.real_numbers.real_pos_within_real
25	theorem		⊢
	proveit.numbers.number_sets.real_numbers.pi_is_real_pos
26	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
27	instantiation	37, 32, 33	⊢
	: , : , :
28	theorem		⊢
	proveit.numbers.number_sets.natural_numbers.nonzero_if_is_nat_pos
29	theorem		⊢
	proveit.numbers.division.div_rational_pos_closure
30	instantiation	37, 35, 34	⊢
	: , : , :
31	instantiation	37, 35, 36	⊢
	: , : , :
32	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
33	instantiation	37, 38, 39	⊢
	: , : , :
34	theorem		⊢
	proveit.numbers.numerals.decimals.posnat1
35	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.nat_pos_within_rational_pos
36	theorem		⊢
	proveit.numbers.numerals.decimals.posnat2
37	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
38	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
39	theorem		⊢
	proveit.numbers.numerals.decimals.nat2