F64adda.c61: def of bend-collections-laws-math@1.0.0.0 Import: import bend-collections-laws-math@1.0.0.0/proofs/math/typed/f64adda.bend as F64adda Lines 35-36 of bend-collections-laws-math@1.0.0.0/proofs/math/typed/f64adda.bend: https://jend.leeeet.dev/read.txt?path=bend-collections-laws-math@1.0.0.0/proofs/math/typed/f64adda.bend&start_line=35&end_line=36 import Base import bend-collections-laws-math@1.0.0.0/spec/lib/common.bend as C import bend-collections-laws-math@1.0.0.0/spec/math/w64.bend as SW import bend-collections-laws-math@1.0.0.0/src/math/u64.bend as WU import bend-collections-laws-math@1.0.0.0/proofs/lib/word.bend as WD import bend-collections-laws-math@1.0.0.0/proofs/math/typed/width.bend as WW import bend-collections-laws-math@1.0.0.0/proofs/math/typed/f64bits.bend as FB def c61(+one: Nat, +h1: {one == 1n : Nat}, +c: U32, +hc: {c == U32{WD.pw(32n, 29n)} : U32}) -> {SW.value(WU.U64{0, c}) == C.shift(61n, one) : Nat}: Equal.trans(Nat, C.shift(32n, v(c)), C.shift(32n, C.shift(29n, one)), C.shift(61n, one), Equal.cong(Nat, Nat, z => C.shift(32n, z), v(c), C.shift(29n, one), FB.pwv(29n, {==}, one, h1, c, hc)), Equal.sym(Nat, C.shift(61n, one), C.shift(32n, C.shift(29n, one)), WW.shift_comp(32n, 29n, one))) Uses (12): https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Equal.cong https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Equal.sym https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Equal.trans https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Nat https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=U32 https://jend.leeeet.dev/definition.txt?path=bend-collections-laws-math@1.0.0.0/proofs/lib/word.bend&name=pw https://jend.leeeet.dev/definition.txt?path=bend-collections-laws-math@1.0.0.0/proofs/math/typed/f64adda.bend&name=v https://jend.leeeet.dev/definition.txt?path=bend-collections-laws-math@1.0.0.0/proofs/math/typed/f64bits.bend&name=pwv https://jend.leeeet.dev/definition.txt?path=bend-collections-laws-math@1.0.0.0/proofs/math/typed/width.bend&name=shift_comp https://jend.leeeet.dev/definition.txt?path=bend-collections-laws-math@1.0.0.0/spec/lib/common.bend&name=shift https://jend.leeeet.dev/definition.txt?path=bend-collections-laws-math@1.0.0.0/spec/math/w64.bend&name=value https://jend.leeeet.dev/definition.txt?path=bend-collections-laws-math@1.0.0.0/src/math/u64.bend&name=U64