Theorems · Theorem · logic and foundations
Ne.ite_ne_right_iff
∀ {α : Sort u_1} {P : Prop} [inst : Decidable P] {a b : α}, a ≠ b → ((if P then a else b) ≠ b ↔ P)- Defined in
- Mathlib.Logic.Basic
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 16 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- Decidable
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites1
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Ne.dite_ne_right_iffproof · cited by 1
Cited by1
Results whose statement or proof uses this declaration.
- ArithmeticFunction.vonMangoldt_ne_zero_iffproof · cited by 3