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

multiplicative_identity

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)

 149theorem multiplicative_identity (m : MultiplicativeRecognizer 𝒞) :
 150    m.cost 1 = 0 := by

proof body

Term-mode proof.

 151  show m.comparator 1 1 = 0
 152  exact m.laws.identity 1 (by norm_num)
 153
 154/-- **(L2) Reciprocal symmetry.** The derived cost is symmetric under
 155reciprocation, a consequence of non-contradiction plus scale invariance. -/

used by (1)

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

depends on (15)

Lean names referenced from this declaration's body.