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Theorems · Theorem · order theory

IsAddLeftRegular.withTop

∀ {α : Type u} [inst : Add α] {a : α}, IsAddLeftRegular a → IsAddLeftRegular ↑a
Defined in
Mathlib.Algebra.Order.Monoid.Unbundled.WithTop
Cited by
3 results in Mathlib
Foundations
Depth 13 from the axioms · uses propext
Assumes
Add
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Around this declaration

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

WithTop.add_left_inj · cited by 2WithTop.add_left_injENat.WithBot.natCast_add_cancel · cited by 1WithBot.natCast_add_cancelENat.WithBot.one_add_cancel · cited by 0WithBot.one_add_cancelTop.top · cited by 9680Top.topWithTop · cited by 3754WithTopWithTop.some · cited by 1128WithTop.someIsAddLeftRegular · cited by 58IsAddLeftRegularWithTop.add_top · cited by 18WithTop.add_topIsAddLeftRegular.withTopCITED BYCITES

Cites5

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

Cited by3

Results whose statement or proof uses this declaration.