theorem ModalWorld.mk.inj
theorem ModalWorld.mk.inj
: ∀ {holds : Prop → Prop} {intro : ∀ (p : Prop), p → holds p} {mp : ∀ (p q : Prop), holds (p → q) → holds p → holds q}
  {consistency : ¬holds False} {elim : ∀ (p : Prop), holds (holds p) = holds p} {holds_1 : Prop → Prop}
  {intro_1 : ∀ (p : Prop), p → holds_1 p} {mp_1 : ∀ (p q : Prop), holds_1 (p → q) → holds_1 p → holds_1 q}
  {consistency_1 : ¬holds_1 False} {elim_1 : ∀ (p : Prop), holds_1 (holds_1 p) = holds_1 p},
  r0nkgtza.ModalWorld.mk holds intro mp consistency elim =
      r0nkgtza.ModalWorld.mk holds_1 intro_1 mp_1 consistency_1 elim_1 →
    holds = holds_1