Mathlib Map

Theorems · Theorem · order theory

ENat.WithBot.natCast_add_cancel

∀ {a b : WithBot ℕ∞} {c : ℕ}, ↑c + a = ↑c + b ↔ a = b
Defined in
Mathlib.Data.ENat.Basic
Cited by
1 results in Mathlib
Foundations
Depth 22 from the axioms · uses propext
Mathlib docsSourceLoogleLeanSearch

Around this declaration

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

ENat.WithBot.ofNat_add_cancel · cited by 0WithBot.ofNat_add_cancelENat · cited by 4985ENatWithBot · cited by 1498WithBotIsAddLeftRegular.all · cited by 5IsAddLeftRegular.allIsAddLeftRegular.withTop · cited by 3IsAddLeftRegular.withTopIsAddLeftRegular.withBot · cited by 2IsAddLeftRegular.withBotWithBot.natCast_add_cancelCITED BYCITES

Cites5

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

Cited by1

Results whose statement or proof uses this declaration.