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_31
2	instantiation	38, 6, 5	⊢
	: , : , :
3	instantiation	38, 6, 7	⊢
	: , : , :
4	instantiation	8	⊢
	:
5	instantiation	9, 10, 25	⊢
	: , :
6	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
7	instantiation	19, 11	⊢
	:
8	axiom		⊢
	proveit.logic.equality.equals_reflexivity
9	theorem		⊢
	proveit.numbers.multiplication.mult_real_closure_bin
10	instantiation	38, 32, 12	⊢
	: , : , :
11	instantiation	13, 14, 15, 16	⊢
	: , : , :
12	instantiation	38, 17, 18	⊢
	: , : , :
13	theorem		⊢
	proveit.numbers.number_sets.real_numbers.all_in_interval_oo__is__real
14	instantiation	19, 20	⊢
	:
15	theorem		⊢
	proveit.numbers.number_sets.real_numbers.zero_is_real
16	assumption		⊢
17	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.rational_pos_within_rational
18	instantiation	21, 22, 23	⊢
	: , :
19	theorem		⊢
	proveit.numbers.negation.real_closure
20	instantiation	24, 25, 26, 27	⊢
	: , :
21	theorem		⊢
	proveit.numbers.division.div_rational_pos_closure
22	instantiation	38, 29, 28	⊢
	: , : , :
23	instantiation	38, 29, 35	⊢
	: , : , :
24	theorem		⊢
	proveit.numbers.division.div_real_closure
25	instantiation	38, 30, 31	⊢
	: , : , :
26	instantiation	38, 32, 33	⊢
	: , : , :
27	instantiation	34, 35	⊢
	:
28	theorem		⊢
	proveit.numbers.numerals.decimals.posnat1
29	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.nat_pos_within_rational_pos
30	theorem		⊢
	proveit.numbers.number_sets.real_numbers.real_pos_within_real
31	theorem		⊢
	proveit.numbers.number_sets.real_numbers.pi_is_real_pos
32	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
33	instantiation	38, 36, 37	⊢
	: , : , :
34	theorem		⊢
	proveit.numbers.number_sets.natural_numbers.nonzero_if_is_nat_pos
35	theorem		⊢
	proveit.numbers.numerals.decimals.posnat2
36	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
37	instantiation	38, 39, 40	⊢
	: , : , :
38	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
39	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
40	theorem		⊢
	proveit.numbers.numerals.decimals.nat2