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, 5	⊢
	: , : , :
3	axiom		⊢
	proveit.logic.booleans.negation.not_f
4	axiom		⊢
	proveit.logic.equality.substitution
5	instantiation	6, 7	⊢
	:
6	axiom		⊢
	proveit.logic.booleans.negation.negation_elim
7	instantiation	8, 9	⊢
	: , :
8	theorem		⊢
	proveit.logic.equality.unfold_not_equals
9	instantiation	10, 11	⊢
	: , :
10	theorem		⊢
	proveit.logic.equality.not_equals_symmetry
11	instantiation	12, 37, 13, 14	⊢
	: , :
12	theorem		⊢
	proveit.numbers.ordering.less_is_not_eq_nat
13	theorem		⊢
	proveit.numbers.numerals.decimals.nat4
14	instantiation	15, 30, 16, 17, 18^, 19^	⊢
	: , : , :
15	theorem		⊢
	proveit.numbers.addition.strong_bound_via_left_term_bound
16	theorem		⊢
	proveit.numbers.number_sets.real_numbers.zero_is_real
17	instantiation	20, 21	⊢
	:
18	instantiation	22, 23, 24	⊢
	: , : , :
19	theorem		⊢
	proveit.numbers.numerals.decimals.add_2_2
20	theorem		⊢
	proveit.numbers.number_sets.natural_numbers.natural_pos_is_pos
21	theorem		⊢
	proveit.numbers.numerals.decimals.posnat2
22	theorem		⊢
	proveit.logic.equality.sub_right_side_into
23	instantiation	25, 27	⊢
	:
24	instantiation	26, 27, 28	⊢
	: , :
25	theorem		⊢
	proveit.numbers.addition.elim_zero_right
26	theorem		⊢
	proveit.numbers.addition.commutation
27	instantiation	35, 29, 30	⊢
	: , : , :
28	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.zero_is_complex
29	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
30	instantiation	35, 31, 32	⊢
	: , : , :
31	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
32	instantiation	35, 33, 34	⊢
	: , : , :
33	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
34	instantiation	35, 36, 37	⊢
	: , : , :
35	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
36	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
37	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
^*equality replacement requirements