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, 5^*	⊢
	: , : , :
1	theorem		⊢
	proveit.numbers.division.frac_cancel_left
2	instantiation	38, 7, 6	⊢
	: , : , :
3	instantiation	38, 7, 8	⊢
	: , : , :
4	instantiation	9, 10, 11	⊢
	: , :
5	instantiation	12, 13	⊢
	:
6	instantiation	38, 15, 14	⊢
	: , : , :
7	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_nonzero_within_complex_nonzero
8	instantiation	38, 15, 16	⊢
	: , : , :
9	theorem		⊢
	proveit.numbers.multiplication.mult_complex_closure_bin
10	instantiation	38, 36, 17	⊢
	: , : , :
11	instantiation	38, 36, 18	⊢
	: , : , :
12	theorem		⊢
	proveit.numbers.multiplication.elim_one_right
13	instantiation	38, 36, 19	⊢
	: , : , :
14	instantiation	38, 21, 20	⊢
	: , : , :
15	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_nonzero_within_real_nonzero
16	instantiation	38, 21, 22	⊢
	: , : , :
17	instantiation	38, 23, 24	⊢
	: , : , :
18	instantiation	38, 25, 26	⊢
	: , : , :
19	instantiation	38, 27, 28	⊢
	: , : , :
20	instantiation	38, 30, 29	⊢
	: , : , :
21	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.nonzero_int_within_rational_nonzero
22	instantiation	38, 30, 31	⊢
	: , : , :
23	theorem		⊢
	proveit.numbers.number_sets.real_numbers.real_pos_within_real
24	theorem		⊢
	proveit.numbers.number_sets.real_numbers.pi_is_real_pos
25	theorem		⊢
	proveit.numbers.number_sets.real_numbers.real_nonneg_within_real
26	instantiation	32, 33	⊢
	:
27	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
28	instantiation	38, 34, 35	⊢
	: , : , :
29	theorem		⊢
	proveit.numbers.numerals.decimals.posnat2
30	theorem		⊢
	proveit.numbers.number_sets.integers.nat_pos_within_nonzero_int
31	theorem		⊢
	proveit.numbers.numerals.decimals.posnat1
32	theorem		⊢
	proveit.numbers.absolute_value.abs_complex_closure
33	instantiation	38, 36, 37	⊢
	: , : , :
34	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
35	instantiation	38, 39, 40	⊢
	: , : , :
36	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
37	assumption		⊢
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
^*equality replacement requirements