pith. machine review for the scientific record. sign in
theorem proved term proof

lt_irrefl

show as:
view Lean formalization →

No prose has been written for this declaration yet. The Lean source and graph data below render without it.

generate prose now

formal statement (Lean)

 375theorem lt_irrefl (n : LogicNat) : ¬ n < n := by

proof body

Term-mode proof.

 376  rintro ⟨k, hk⟩
 377  -- n + succ k = n. Apply toNat: toNat n + toNat (succ k) = toNat n on Nat.
 378  have := congrArg toNat hk
 379  rw [toNat_add, toNat_succ] at this
 380  -- this : toNat n + Nat.succ (toNat k) = toNat n
 381  omega
 382

used by (11)

From the project-wide theorem graph. These declarations reference this one in their body.

depends on (6)

Lean names referenced from this declaration's body.