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	axiom		⊢
	proveit.logic.equality.equals_transitivity
2	instantiation	4, 43, 5, 6, 7, 8	⊢
	: , : , : , :
3	instantiation	9, 10, 11, 12^, 13^	⊢
	: , : , :
4	axiom		⊢
	proveit.core_expr_types.operations.operands_substitution
5	instantiation	14	⊢
	: , :
6	instantiation	14	⊢
	: , :
7	instantiation	15, 21	⊢
	:
8	instantiation	20, 16	⊢
	:
9	theorem		⊢
	proveit.numbers.division.frac_cancel_left
10	instantiation	41, 17, 18	⊢
	: , : , :
11	instantiation	41, 26, 19	⊢
	: , : , :
12	instantiation	20, 21	⊢
	:
13	theorem		⊢
	proveit.numbers.numerals.decimals.mult_2_2
14	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
15	theorem		⊢
	proveit.numbers.multiplication.elim_one_left
16	instantiation	41, 26, 22	⊢
	: , : , :
17	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_nonzero_within_complex_nonzero
18	instantiation	41, 23, 24	⊢
	: , : , :
19	instantiation	41, 32, 25	⊢
	: , : , :
20	theorem		⊢
	proveit.numbers.multiplication.elim_one_right
21	instantiation	41, 26, 27	⊢
	: , : , :
22	instantiation	41, 32, 28	⊢
	: , : , :
23	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_nonzero_within_real_nonzero
24	instantiation	41, 29, 30	⊢
	: , : , :
25	instantiation	41, 38, 31	⊢
	: , : , :
26	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
27	instantiation	41, 32, 33	⊢
	: , : , :
28	instantiation	41, 38, 34	⊢
	: , : , :
29	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.nonzero_int_within_rational_nonzero
30	instantiation	41, 35, 36	⊢
	: , : , :
31	instantiation	41, 42, 37	⊢
	: , : , :
32	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
33	instantiation	41, 38, 39	⊢
	: , : , :
34	instantiation	41, 42, 40	⊢
	: , : , :
35	theorem		⊢
	proveit.numbers.number_sets.integers.nat_pos_within_nonzero_int
36	theorem		⊢
	proveit.numbers.numerals.decimals.posnat2
37	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
38	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
39	instantiation	41, 42, 43	⊢
	: , : , :
40	theorem		⊢
	proveit.numbers.numerals.decimals.nat4
41	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
42	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
43	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
^*equality replacement requirements