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Theorems · Theorem · number theory

PosNum.cmp_swap

∀ (m n : PosNum), (m.cmp n).swap = n.cmp m
Defined in
Mathlib.Data.Num.Lemmas
Cited by
2 results in Mathlib
Foundations
Depth 34 from the axioms · uses propext
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Around this declaration

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

Num.cmp_swap · cited by 1Num.cmp_swapPosNum.le_iff_cmp · cited by 0PosNum.le_iff_cmpPosNum · cited by 171PosNumPosNum.casesOn · cited by 17PosNum.casesOnPosNum.cmp · cited by 9PosNum.cmpPosNum.cmp.eq_def · cited by 1cmp.eq_defPosNum.cmp_swapCITED 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.