Mathlib Map

Theorems · Theorem · logic and foundations

Part.assert_neg

∀ {α : Type u_1} {p : Prop} {f : p → Part α}, ¬p → Part.assert p f = Part.none
Defined in
Mathlib.Data.Part
Cited by
2 results in Mathlib
Foundations
Depth 12 from the axioms · uses propext, Quot.sound
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Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

Part.fix_def' · cited by 1Part.fix_def'Part.fix_def · cited by 1Part.fix_defPart · cited by 325PartPart.none · cited by 36Part.nonePart.ext · cited by 24Part.extPart.assert · cited by 10Part.assertPart.assert_negCITED BYCITES

Cites4

Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.

Cited by2

Results whose statement or proof uses this declaration.