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theorem TwoPeopleDifferingInWealth.mk.injEq

theorem TwoPeopleDifferingInWealth.mk.injEq
: ∀ (p1 p2 : nrhqjxz5.Person) (p1Character p2Character : y5gfszhz.MoralCharacter) (p1_is_rich : y5gfszhz.Rich (Subtype.val p1)) (p2_is_not : ¬y5gfszhz.Rich (Subtype.val p2)) (p1_has_character : y5gfszhz.HasMoralCharacter (Subtype.val p1) (Subtype.val p1Character)) (p2_has_character : y5gfszhz.HasMoralCharacter (Subtype.val p2) (Subtype.val p2Character)) (all_else_equal : y5gfszhz.SameCircumstancesExceptWealth (Subtype.val p1) (Subtype.val p2)) (p1_1 p2_1 : nrhqjxz5.Person) (p1Character_1 p2Character_1 : y5gfszhz.MoralCharacter) (p1_is_rich_1 : y5gfszhz.Rich (Subtype.val p1_1)) (p2_is_not_1 : ¬y5gfszhz.Rich (Subtype.val p2_1)) (p1_has_character_1 : y5gfszhz.HasMoralCharacter (Subtype.val p1_1) (Subtype.val p1Character_1)) (p2_has_character_1 : y5gfszhz.HasMoralCharacter (Subtype.val p2_1) (Subtype.val p2Character_1)) (all_else_equal_1 : y5gfszhz.SameCircumstancesExceptWealth (Subtype.val p1_1) (Subtype.val p2_1)), (y5gfszhz.TwoPeopleDifferingInWealth.mk p1 p2 p1Character p2Character p1_is_rich p2_is_not p1_has_character p2_has_character all_else_equal = y5gfszhz.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)

Published by @sam ·

View source in y5gfszhz

Definitional, with no premises to accept.