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Theorems · Theorem · logic and foundations

Bool.decide_false_iff

∀ (p : Prop) {x : Decidable p}, decide p = false ↔ ¬p
Defined in
Mathlib.Data.Bool.Basic
Cited by
2 results in Mathlib
Foundations
Depth 15 from the axioms · uses propext, Classical.choice, Quot.sound
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Around this declaration

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

Bool.decide_false · cited by 3Bool.decide_falseBool.of_decide_false · cited by 0Bool.of_decide_falseBool.decide_iff · cited by 4Bool.decide_iffBool.bool_iff_false · cited by 2Bool.bool_iff_falseBool.decide_false_iffCITED BYCITES

Cites2

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Cited by2

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