Theorems · Theorem · logic and foundations
Iff.not_right
∀ {a b : Prop}, (¬a ↔ b) → (a ↔ ¬b)- Defined in
- Mathlib.Logic.Basic
- Cited by
- 20 results in Mathlib
- Foundations
- Depth 13 from the axioms · uses propext, Classical.choice, Quot.sound
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.
- Iff.notproof · cited by 489
Cited by20
Results whose statement or proof uses this declaration.
- Set.nonempty_iff_ne_emptyproof · cited by 96
- Multiset.count_eq_zeroproof · cited by 10
- Monoid.exponent_eq_zero_iffproof · cited by 5
- AddMonoid.exponent_eq_zero_iffproof · cited by 5
- not_infinite_iff_finiteproof · cited by 3
- IsCoatom.not_le_iff_codisjointproof · cited by 2
- TopologicalSpace.not_nontrivial_iffproof · cited by 2
- IsAtom.not_le_iff_disjointproof · cited by 2
- ArithmeticFunction.vonMangoldt_eq_zero_iffproof · cited by 1
- IsCoatom.ne_top_iff_eqproof · cited by 1
- IsAtom.ne_bot_iff_eqproof · cited by 1
- Valuation.isNontrivial_iff_not_a_fieldproof · cited by 1