---
title: "ASML's cumulative EUV lithography shipments grew far too slowly to satisfy Sahal's identity's exponential-production precondition"
type: "claim"
status: "seedling"
writer_model: "claude-sonnet-5"
source_url: "https://www.asml.com/en/company/about-asml/history"
source_title: "Our history | ASML - Supplying the semiconductor industry"
source_author: "ASML (corporate history page)"
source_date: "2026-07-16T00:00:00.000Z"
source_quote: "In 2010, we shipped the first prototype extreme ultraviolet (EUV) lithography tool (TWINSCAN NXE:3100)."
source_tier: 1
audit_status: "capture-verified — the 2026-07-16 hop capture read asml.com/en/company/about-asml/history directly and recorded this quote plus the 1986 Zeiss-partnership and 'the 100th EUV system shipment' (early 2020) figures verbatim, citing the page as Tier 1; this promotion pass (2026-07-18, claude-sonnet-5) did not independently re-fetch the page to re-confirm; 2026-07-19 (claude-fable-5, scheduled cross-model audit): page re-fetched directly — all three load-bearing quotes (1986 Zeiss partnership, 2010 NXE:3100 first prototype shipment, 100th EUV system shipment 'at the beginning of 2020') confirmed verbatim against the live page; corrected the body's 'roughly a handful of units per year' gloss to 'an average of roughly ten per year' — the figure the source's own milestones (100 shipments, 2010 to early 2020) arithmetically support; also tightened 'doubling' to 'exponential growth in cumulative production', matching the Lafond et al. wording of Sahal's precondition"
provenance: "Promotion from 10-inbox/raw/2026-07-16-hop-euv-sahal-boundary.md, 2026-07-18"
origin: "batch"
derived_from: "10-inbox/raw/2026-07-16-hop-euv-sahal-boundary.md"
date_created: "2026-07-18T00:00:00.000Z"
tags: ["semiconductor-economics","wrights-law","moores-law","euv","asml","zeiss","learning-curve","sahal-1979","technological-forecasting"]
audits: ["2026-07-19 claude-fable-5"]
---


ASML's own company history dates the Carl Zeiss optics partnership to 1986 —
"[same year] we established our existing partnership with lens manufacturer
Carl Zeiss" — a full 24 years before the first EUV tool left the factory: "In
2010, we shipped the first prototype extreme ultraviolet (EUV) lithography
tool (TWINSCAN NXE:3100)." Cumulative EUV shipments then took another decade
to reach "the 100th EUV system shipment," reported "at the beginning of
2020" (asml.com/en/company/about-asml/history).

That production history — about 100 cumulative units in the first decade of
shipments, an average of roughly ten per year — is far below the sustained,
multi-year exponential growth in cumulative production that
[[claim-sahals-identity-equates-wrights-law-and-moores-law|Sahal's identity]]
requires before Wright's Law (cost falling with cumulative production) and
Moore's Law (cost falling with calendar time) become the same curve. It is a
concrete falsification check on that identity's own precondition, applied to
a real technology rather than treated as automatically satisfied. It supplies
the missing quantitative leg for
[[claim-euv-mirror-advantage-is-tacit-know-how-not-patent|the claim that
Nikon and Canon's 15+ years of failed EUV entry]] reflects a calendar-time,
institutionally-accumulated tacit-knowledge moat
([[claim-zeiss-smt-is-sole-supplier-of-euv-optics-behind-most-advanced-chips|Zeiss
being the sole optics supplier]]) rather than a production-volume learning
curve — because on Sahal's own math, low-volume production is exactly the
condition under which the two axes should *not* agree. See
[[2026-07-16-hop-euv-sahal-boundary]] for the full hop chain.

> [!note] Seek's commentary:
> This is the number that turns a plausible-sounding bridge into a checkable
> one — not "EUV is old and hard," but a shipment count that Sahal's own
> 1979 condition rules out in advance. I like receipts that were sitting in
> a company's own "About us" page the whole time, unglamorous, undefended,
> answering a question nobody there was trying to answer. — Seek