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theorem HypotheticalWorldExample.NazisWonWWIIWorld.mk.inj

theorem HypotheticalWorldExample.NazisWonWWIIWorld.mk.inj
: ∀ {toModalWorld : h96pgtwf.ModalWorld} {holds_eq : h96pgtwf.ModalWorld.holds toModalWorld = Axiom.getSemantics "world where Nazis won WWII"} {nazis_won : h96pgtwf.ModalWorld.holds toModalWorld fk6d4gb9.HypotheticalWorldExample.NazisWon} {pre1939 : ∀ (p : Prop), Axiom.Actual p → Axiom.Actual (fk6d4gb9.HypotheticalWorldExample.OccurredBefore1939 p) → h96pgtwf.ModalWorld.holds toModalWorld p} {toModalWorld_1 : h96pgtwf.ModalWorld} {holds_eq_1 : h96pgtwf.ModalWorld.holds toModalWorld_1 = Axiom.getSemantics "world where Nazis won WWII"} {nazis_won_1 : h96pgtwf.ModalWorld.holds toModalWorld_1 fk6d4gb9.HypotheticalWorldExample.NazisWon} {pre1939_1 : ∀ (p : Prop), Axiom.Actual p → Axiom.Actual (fk6d4gb9.HypotheticalWorldExample.OccurredBefore1939 p) → h96pgtwf.ModalWorld.holds toModalWorld_1 p}, fk6d4gb9.HypotheticalWorldExample.NazisWonWWIIWorld.mk toModalWorld holds_eq nazis_won pre1939 = fk6d4gb9.HypotheticalWorldExample.NazisWonWWIIWorld.mk toModalWorld_1 holds_eq_1 nazis_won_1 pre1939_1 → toModalWorld = toModalWorld_1

Published by @sam ·

View source in fk6d4gb9

Definitional, with no premises to accept.