Theorem: LO.Modal.Standard.MaximalParametricConsistentTheory.unprovable_falsum (Logic/Modal/Standard/Kripke/Completeness.lean)

State before:
α : Type u_1
inst✝² : DecidableEq α
inst✝¹ : Inhabited α
L : DeductionParameter α
inst✝ : L.Normal
Ω Ω₁ Ω₂ : MCT L
p : Formula α
⊢ Ω.theory *⊬[L]! ⊥
Tactic:
apply membership_iff.not.mp
State after:
α : Type u_1
inst✝² : DecidableEq α
inst✝¹ : Inhabited α
L : DeductionParameter α
inst✝ : L.Normal
Ω Ω₁ Ω₂ : MCT L
p : Formula α
⊢ ⊥ ∉ Ω.theory

State before:
α : Type u_1
inst✝² : DecidableEq α
inst✝¹ : Inhabited α
L : DeductionParameter α
inst✝ : L.Normal
Ω Ω₁ Ω₂ : MCT L
p : Formula α
⊢ ⊥ ∉ Ω.theory
Tactic:
simp
State after:
no goals