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)
80theorem law_of_existence (x : ℝ) : Exists x ↔ DefectCollapse x :=
proof body
Term-mode proof.
81 ⟨fun ⟨hpos, hdef⟩ => ⟨hpos, hdef⟩, fun ⟨hpos, hdef⟩ => ⟨hpos, hdef⟩⟩
82
83/-- **Existence Characterization**: x exists ⟺ x = 1. -/
used by (2)
From the project-wide theorem graph. These declarations reference this one in their body.
depends on (4)
Lean names referenced from this declaration's body.
-
Exists
in IndisputableMonolith.Foundation.CostAxioms
decl_use
-
law_of_existence
in IndisputableMonolith.Foundation.CostAxioms
decl_use
-
DefectCollapse
in IndisputableMonolith.Foundation.LawOfExistence
decl_use
-
Exists
in IndisputableMonolith.Foundation.LawOfExistence
decl_use