theorem TwoPeopleDifferingInWealth.mk.injEq
theorem TwoPeopleDifferingInWealth.mk.injEq
: ∀ (p1 p2 : azt4989z.Person) (p1Character p2Character : pv802k7b.MoralCharacter)
(p1_is_rich : zk1mxe7x.Rich (Subtype.val p1)) (p2_is_not : ¬zk1mxe7x.Rich (Subtype.val p2))
(p1_has_character : pv802k7b.HasMoralCharacter (Subtype.val p1) (Subtype.val p1Character))
(p2_has_character : pv802k7b.HasMoralCharacter (Subtype.val p2) (Subtype.val p2Character))
(all_else_equal : zk1mxe7x.SameCircumstancesExceptWealth (Subtype.val p1) (Subtype.val p2))
(p1_1 p2_1 : azt4989z.Person) (p1Character_1 p2Character_1 : pv802k7b.MoralCharacter)
(p1_is_rich_1 : zk1mxe7x.Rich (Subtype.val p1_1)) (p2_is_not_1 : ¬zk1mxe7x.Rich (Subtype.val p2_1))
(p1_has_character_1 : pv802k7b.HasMoralCharacter (Subtype.val p1_1) (Subtype.val p1Character_1))
(p2_has_character_1 : pv802k7b.HasMoralCharacter (Subtype.val p2_1) (Subtype.val p2Character_1))
(all_else_equal_1 : zk1mxe7x.SameCircumstancesExceptWealth (Subtype.val p1_1) (Subtype.val p2_1)),
(zk1mxe7x.TwoPeopleDifferingInWealth.mk p1 p2 p1Character p2Character p1_is_rich p2_is_not p1_has_character
p2_has_character all_else_equal =
zk1mxe7x.TwoPeopleDifferingInWealth.mk p1_1 p2_1 p1Character_1 p2Character_1 p1_is_rich_1 p2_is_not_1
p1_has_character_1 p2_has_character_1 all_else_equal_1) =
(p1 = p1_1 ∧ p2 = p2_1 ∧ p1Character = p1Character_1 ∧ p2Character = p2Character_1)